## GEOMETRY QUESTIONS

Angle in Triangle, Angle in Rectangle, Area in Trapezoid, Geometry Trapezoid Area, Inner Tangent Circle Center, Outer Tangent Circle Center, Area in Square, Angle Edge Relationships, Octagon, Area in Rectangle, Euclid, 30 60 90 Triangle, Isosceles Angle, Moving Area in Triangle, Equilateral Triangular Angle, Right Triangular Length, Isosceles Triangular Length, Angle in Rectangles, Area in Hexagon, Isosceles Triangle, Rhombus Triangle, 30 60 90 triangles, Perimeter Angle, Isosceles Trapezoid, Right Trapezoid, Area in Right Trapezoid, Tangent Beam Perimeter Angle, Angle in Circle , Circle Area, Trigonometry Triangle, Deltoid, Length in the Circle, Area in the Parallelogram, Pythagoras Relation, Magnificent Triad, Triangle Transport Questions

Question 1-) In the figure, points A, B, C are linear, m (EBA); If all 1/3 of m (CBD) is m (CBD) = m (DBE) + 10 °; How many degrees is m (DBE)?

Question 2-) If [FG parallel [BA, [FE] parallel [CD], m (DCB)) = 130 °, m (ABC) = 4x-10 °, m (EFG) = 3x; How many degrees is x?

Question 3-) If FK parallel [CR, [CP parallel [DA], [AE] and [CE] bisector, 3m (RCE) = 2m (DAE)); How many degrees is m (EBA) = x?

Question 4-) If [BA parallel [EF parallel HG, m (ABC) = m (EDC), m (DEF) = 100 °; How many degrees is m (DCB) = x?

Question 5-) If [BE parallel [CF, m (ABE) = 150 °, m (BAD) = 60 °, m (ADC) = 50 °; How many degrees is m (FCD) = x?

Question 6-) [AF parallel [DE, [AC] perpendicular [BD], [AC] bisector, m (BDE) = 145 °; How many degrees is m (DBA) = x?

Question 7-) If FE parallel [CD, m (GAE) = 5y-5 °, m (DCB) = 3y + 5 °, m (GBC) = 60 °; How many degrees is m (FAB) = x?

Question 😎 If [BA parallel [FD, [KP parallel [BE, m (EBA) = 120 °, m (FKP) = 105 °); How much is m (CFK) = x?

Question 9-) [If BA is parallel [GH, a + b + c + d = 590 °; How many degrees is x + y?

Question 10-) If [AF, [DE, [AH] and [DG] bisector, m (CBA) = 132 °, m (DCB) = 128 °; How much is m (DGH) = x?

Question 11-) If [DF parallel [BC, [EA] perpendicular [AB], m (FDE) = 60 °, m (CBA) = 50 °; How many degrees is m (DEA) = x?

Question 12-) [GH parallel [FK, [DE] parallel [AF], [AB] bisector, m (CBA) = 80 °, m (BCD) = 35 °, m (EDC) = 70 °, m (FAG) If = 2x; How many degrees is x?

Question 13-) If [AL parallel [DK, [BP] and [CP] bisector, m (LAB) = 38 °, m (KDC) = 138 °); How many degrees is m (BPC) = x?

Question 14-) If a + b + c + d = 260 °, e + f = 20x; How many degrees is x?

Question 15-) [BL parallel [DE, m (LBP) = m (PBC), m (DCA) = m (ACB), m (PAC) = 15 °; How many degrees is m (CDE) = x?

Question 16-) [BG parallel [DE, m (ABH) = m (HBG), m (EDF) = m (FDA), m (BAD) = 30 °; How many degrees is m (FCH) = x?

Question 17-) If ABC is a triangle, m (DBA) = m (DCB), m (BDC) = 143 °; How many degrees is m (CBA) = x?

Question 18-) If ABC is a triangle, m (BAD) = m (DAC), m (CBA) – m (ACB) = 32 °; How many degrees is m (ADB)?

Question 19-) If ABC is a triangle, [AD] perpendicular [BD], m (DBA) = m (DAC), m (CBA) = 40 °; How many degrees is m (ACB) = x?

Question 20-) If ABC is a triangle, [BD] and [CD] bisector, m (BAC) = 2x, m (BDC) = 6x; How many degrees is x?

Question 21-) If [BE parallel [CF, [AP] and [DP] bisector, m (ABE) = 141 °, m (FCD) = 151 °; How many degrees is m (DPA) = x?

Question 22-) If ABC is a triangle, [AE] and [BD] bisector, m (BDC) = 115 °, m (AEB) = 76 °; How many degrees is m (ACB) = x?

Question 23-) If ABC is a triangle, [BD] and [CD] bisector, m (EAF) = 14x, m (CDB) = 11x; How many degrees is x?

Question 24-) If ABC is a triangle, [BD] and [CD] bisector, m (EBF) = 44 °; How many degrees is m (ADC) = x?

Question 25-) If ABC is a triangle, [BD] and [CD] bisector, m (BDC) = 52 °; How many degrees is m (BAC) = x?

Question 26-) If ABC is a triangle, [BD] and [CD] bisector, m (BDC) = 50 °; How many degrees is m (CAD) = x?

Question 27-) In the ABC triangle; D is the center of the outer tangent circle, m (ADB) = x, m (BDC) = y, m (BAC) = 7x-5 °, m (ACB) = y-20 °; How many degrees is x?

Question 28-) If KN parallel [CP, m (ACB) = m (BCP), | AC | = | BC |, m (CAK) = 60 °; How many degrees is m (NAB) = x?

Question 29-) If [AD parallel NP, [AC] bisector, | AB | = | CD |, m (ABN) = 2m (PBD); How many degrees is m (DCA) = x?

Question 30-) If ABC is a triangle, | AB | = | AE | = | BD |, m (EAC) = 24 °, m (CBD) = 30 °; How many degrees is m (ACB) = x?

Question 31-) If ABC triangle, | AP | = | PC |, | FA | = | FB | = | FP |, m (ACB) = 33 °; How many degrees is m (BAF) = x?

Question 32-) If | AB | = | BC | = | CD | = | DE |, m (EDC) = m (CDB); How many degrees is m (DAE) = x?

Question 33-) If ABC is a triangle, | AB | = | AC | = 9 cm, | AD | = 7 cm; | BD |. | DC | how many cm²?

Question 34-) In the ABC right triangle, if [AD] perpendicular [BC], | AC | = 2 | AB |, | AD | = 4 cm; | BC | how many cm is it?

Question 35-) If ABC right triangle, [BA] perpendicular [AC], [AN] perpendicular [BC], | BN | ² + | NC | ² = 112 cm², | AN | = 12 cm; | BC | how many cm is it?

Question 36-) If [AB] perpendicular [BC], [CD] perpendicular [AD], m (BAD) = 45 °, | AB | + | BC | = 6 cm; | NAME | how many cm is it?

Question 37-) If ABC is a triangle, | AB | = 10 cm, m (BAC) = 15 °, m (ACB) = 135 °; | AC | = x how many cm?

Question 38-) If ABC is a triangle, | AB | = (root3) -1 cm, m (ACB) = 15 °, m (CBA) = 30 °; | AC | = x how many cm?

Question 39-) If ABCD is a rectangle, [BA] perpendicular [AD], m (ADC) = 60 °, m (CBA) = 45 °, | AD | = 11 cm, | CD | = 6 cm; | BC | how many cm is it?

Question 40-) ABC and KCN are triangles, [AD] perpendicular [BN], | AD | = | KN |, | AK | = | KC | if; How many degrees is the measure of the KNB angle?

Question 41-) If ABC is a triangle, [BA] perpendicular [AC], | AD | = | BE | = | EC |, m (CBA) = 30 °; How many degrees is m (DCE) = α?

Question 42-) If ABC is a triangle, [PA] perpendicular [AC], m (BAP) = 15 °, m (ACP) = 25 °; | PC | / | AB | What is the rate?

Question 43-) ABC is a triangle, [BK] perpendicular [AC], | BL | = | LC |, | BK | = | AL | if; How many degrees is m (LAC) = x?

Question 44-) If the point E of ABC triangle on [BD] is the cut point of the heights of the triangle, | BE | = 4root3 cm, | ED | = root3 cm, m (ACB) = 60 °; | AC | = x how many cm?

Question 45-) If ABC right triangle, [BA] perpendicular [AC], [AE] perpendicular [BC], | BD | = | DC |, | AD | = 10 cm, m (ACB) = 15 °; | AE | = x how many cm?

Question 46-) If ABC is a triangle, [DA] perpendicular [AC], m (BAD) = 45 °, | AD | = root2 cm, | AC | = 2root2 cm; | AB | = How many cm is x?

Question 47-) If A, D and E point are linear, [AE] perpendicular [BC], | AD | = 7 cm, | AC | = 8 cm, | BD | = 3 cm in ABC triangle; | DC | = x how many cm?

Question 48-) ABC and CBD are triangles, [AB] perpendicular [BD], | CB | = | CD |, | AC | = | BD | if; How many degrees is m (BAC) = x?

Question 49-) ABC and DBC right triangle, [AB] perpendicular [BC], [BD] perpendicular [DC], [AC] and [BD] intersection E, m (DCA) = m (ACB), | AE | = 10 cm, | BE | = 5root5 cm; | EC | = x how many cm?

Question 50-) In the ABC right triangle, if | AB | = | BC |, | BF | = 1 cm, | CF | = 2 cm, | AF | = root2 cm; How many degrees is m (AFB) = x?

Question 51-) In the ABC right triangle, if | AB | = 6 cm, | BD | = 2 root cm, | DC | = 4 root2 cm, m (BAD) = x; What is the cotx value?

Question 52-) If ABC is a triangle, [FE] perpendicular [BC], | FE | = 3 cm, | BE | = 6 cm, | EC | = 9 cm; How many degrees is m (ACF) = x?

Question 53-) If ABC is an isosceles triangle, [BE] perpendicular [AC], | EC | = 3 cm, | BC | = 5 cm; | AC | = x how many cm?

Question 54-) ABC is a triangle, [AK] perpendicular [BC], [PM] perpendicular [BC], | AB | = | PC |, | BK | = | KL |, | LM | = | MC |, m (ACB ) = 19 °; How many degrees is m (BAC)?

Question 55-) ABCD square, [AP] perpendicular [BC], [AO] perpendicular [CD], m (PAO) = 45 ° | BP | = | PC |, | CO | = | OD |, point A and point C if the distance between 12 br; What is the distance between point B and point D?

Question 56-) If ABC is a right triangle, m (CBA) = 2m (DAC), | AB | = 15 cm, | AC | = 8 cm; | DC | = x how many cm?

Question 57-) If ABC is a triangle, m (ACB) = 2m (BAD), | AC | = | CD |, | AB | = 5 cm, | BD | = 1 cm; | AC | = x how many cm?

Question 58-) If ACD and BCE are triangles, | BE | = | BC |, | AE | = | DC |, m (CBD) = m (DBE), m (ADC) = 120 °, m (CAD) = x ; How many degrees is x?

Question 59-) If [DE] perpendicular [AC], [DF] perpendicular [AB], m (ACB) = m (CAB) = 15 °, | DE | + | DF | = 5 cm in the ABC triangle; | AB | how many cm is it?

Question 60-) If [DF] perpendicular [AB], [DE] perpendicular [AC], | DF | = 1 cm, | DE | = 3 cm, | BC | = 2 root5 cm in ABC triangle; | AB | how many cm is it?

Question 61-) ABC is a triangle, [CK] perpendicular [AB], [EP] perpendicular [AB], [ED] perpendicular [AD], | AB | = | AC |, | PE | + | KC | = 2 | BC |, | KB | = root17 cm, | ED | = 2 cm; | BC | how many cm is it?

Question 62-) If ABC | triangle | AB | = | AC |, [FD] parallel [AC], [DE] perpendicular [AC], | AE | = 6 cm, | EC | = 2 cm, | FB | = 3 cm ; | DE | = x how many cm?

Question 63-) If ABC and DBE are perpendicular triangles, | DC | = | CE |, | AD | = 5 cm, | DB | = 8 cm; | DE | how many cm is it?

Question 64-) ABC isosceles triangle, | AB | = | BC |, [BD] perpendicular [AC], [BD] and [CE] intersection point F, | BF | = | FD |, | BE | = 1 cm, | BC | = x how many cm?

Question 65-) ABE and DBC are triangles, [AE] parallel [BC], [DC] perpendicular [BC], m (CBD) = m (EBA), | AE | = | BD |, | AB | = 13 cm, If | DC | = 5 cm; | DE | = x how many cm?

Question 66-) If the figure is ABC triangle, [AB] perpendicular [AC], [DE] perpendicular [BC], [FD] bisector, | BE | = | EC |, m (FDE) = 74 °; How many degrees is m (FCB) = α?

Question 67-) If ABC triangle, [AD] perpendicular [BD], | BC | = 2 | AD |, m (BAD) = m (DAC) = 53 °; How many degrees is m (DBC) = x?

Question 68-) If ABC right triangle, | BE | = 2 | CD |, m (CBA) = 20 °, m (CDA) = 40 °; How many degrees is m (DAE) = x?

Question 69-) ABC is an equilateral triangle, | EB | = | EC | if; How many degrees is m (BAE) = x?

Question 70-) ABC is an equilateral triangle, [AB] parallel [PD], [AC] parallel [EP], [PN] perpendicular [AC], | PD | = 2 cm, | PE | = 3 cm, | PN | = 2root3 cm; How many cm is one edge of the ABC triangle?

Question 71-) ABC equilateral triangle, [RS] perpendicular [AB], [RK] perpendicular [BC], [RP] perpendicular [AC], | SR | = 9 br, | RK | = 3 br, | RP | = 10 br; What is the perimeter of the ABC triangle?

Question 72-) If ABC is an equilateral triangle, m (EPN) = 60 °, | BP | = 5 cm, | PC | = 12 cm, | AE | = 11 cm; | AN | = x how many cm?

Question 73-) If ABC is an equilateral triangle, m (DEA) = 105 °, | BC | = | AD |, | AB | = 4 cm; | BD | how many cm is it?

Question 74-) If ABC is an equilateral triangle, | BD | = 3 | CD |, | AD | = 3root7 cm; | AB | = How many cm is x?

Question 75-) If ABC and DBE are equilateral triangles, | DC | = 7 cm, | EC | = 8 cm; | ED | how many cm is it?

Question 76-) If ABC is an equilateral triangle, [BE] perpendicular [AD], | BE | = | CD |, | AF | = | FB |, m (BFD) = α; How many degrees is α?

Question 77-) If ABC is a right triangle, [AB] perpendicular [AC], [ED] parallel [BC], | AE | = 4 cm, | DC | = 3 cm; How much cm² is the Area (EBD)?

Question 78-) If ABC is a triangle, [DE] perpendicular [EC], | EC | = 6 cm, | DE | = 8 cm, | AD | = 5 cm, | BE | = 10 cm; How many cm² is the Area (ABED)?

Question 79-) In the ABC triangle in the figure, [AB] is divided into 4 parts and [BC] into 3 parts. What is the ratio of Area (DKL) / Area (ABC)?

Question 80-) if ABC is a triangle, the cut point of [DC] with point F [AE], | DB | = 4 cm, | BE | = 6 cm, | EC | = 8 cm, Area (DBEF) = Area (AFC); | AD | = x how many cm?

Question 81-) If ABC and FBD are triangles, Area (AFE) = Area (ECD), | AF | = 6 cm, | BC | = 12 cm, | CD | = 8 cm; | FB | = x how many cm?

Question 82-) If ABC is a triangle, m (ADB) = 60 °, | AE | = 7 cm, | BC | = 12root3 cm; How many cm² is the Area (ABEC)?

Question 83-) ABC right triangle, [DE] parallel [BC], | DE | = 6 cm, | AB | = 14 cm; How much cm² is the Area (ADC)?

Question 84-) [AB] perpendicular [BC], [AD] perpendicular [AC], | AD | = | AC |, | AB | = 12 cm; How many cm² is the Area (ADB)?

Question 85-) ABC triangle, | AR | = | AP |, | RB | = | BS | = 6 cm, | SC | = | CP | = 10 cm, A (ABC) = 40root3 cm²; How many degrees is m (RPS) = α?

Question 86-) ABC is a triangle, | KC | = 3 | AK |, | AL | = 2 | LB |, | BM | = | MC |, Area (KLM) = 7 cm²; How many cm² is the Area (ABC)?

Question 87-) ABC is a triangle, | BD | = | DC |, m (DAC) = m (ACD) = 20 °, | AB |. | BC | = 24 cm²; How many cm² is the Area (ABC)?

Question 88-) ABC right triangle, [AC] perpendicular [BC], | BC | = 2 | AC |, | BP | = 20 cm, | AP | = 15 cm, | CP | = 10 cm; How much cm² is the Area (PBC)?

Question 89-) ABC triangle, [AD] and [BE] bisector, | AB | = 13 cm, | AC | = 16 cm, | BC | = 19 cm; | BE | / | FE | What is the rate?

Question 90-) ABC triangle, [ED] perpendicular [AC], [CF] bisector, 3 | BF | = 4 | AF |, | ED | = 5 cm, | AD | = 7 cm, | DC | = 8 cm; | BE | how many cm is it?

Question 91-) ABC is a triangle, [AD] perpendicular [BC], | AC | = | BC |, | BD | = 4 br; What is the distance of the triangle of the ABC triangle to the corner B?

Question 92-) If [BK] and [CK] bisector, [KD] perpendicular [BC], | AB | = 8 cm, | BD | = 7 cm, | DC | = 4 cm in ABC triangle; | AC | = x how many cm?

Question 93-) If point D is the center of the inner tangent circle of the triangle ABC, [DE] perpendicular [AC], [DF] perpendicular [BC], | AB | = 5 cm, | FC | = 7 cm, | AE | = 2 cm; How many cm is the circumference (ABC)?

Question 94-) ABC right triangle, [BK] and [CK] bisector, | AB | = 6 cm, | AC | = 8 cm; What is the shortest distance from the K point to the edge of [BC]?

Question 95-) KBC triangle, [BK] perpendicular [KN], m (CBP) = m (PBK), | KN | = | NC |, | KF | = 3 cm, | BF | = 9 cm; | KP | = x how many cm?

Question 96-) ABC right triangle, [BD] and [CE] are bisector, m (ADB) = 75 °, | AD | = root6 cm; | FD | = x how many cm?

Question 97-) ABC triangle, [EF] and [DF] bisector, | AB | = 11 cm, | AC | = 13 cm, | BC | = 12 cm; | BF | = x how many cm?

Question 98-) B, A, E linear in the triangle ABC, m (CRD) = m (DRA), m (RAC) = m (CAE), 2 | DC | = 3 | AD |, | AB | = 10 cm, | If RC | = 12 cm; | BR | = x how many cm?

Question 99-) In the triangle ABC, point F is the center of the inner tangent circle, [BC] ∩ [FE] = {E}, [BA] perpendicular [AC], [BF] perpendicular [FE], | BE | = 5 cm, | EC | = 15 cm; | FE | = How many cm is x?

Question 100-) [AD] outer bisector in the triangle ABC, [BD] ∩ [AC] = {C}, | AB | = 8 cm, | AC | = 6 cm, | AD | = 4kök6 cm; | CD | how many cm is it?

Question 101-) G center of gravity in triangle ABC, [CD]; Perpendicular to [AB], | AG | = 6 cm, | BC | = 14 cm; | GC | how many cm is it?

Question 102-) G center of gravity in triangle ABC, | GR | = | RB |, | GF | = 4 cm; | AG | how many cm is it?

Question 103-) G center of gravity in the right triangle ABC, [KD]; If points A, K, G are parallel to [BC]; | AG | / | NE | What is the rate?

Question 104-) G center of gravity in the right triangle ABC, [AG]; Perpendicular to [GB], [DE]; Perpendicular to [BC], | AD | = | DG |; How many degrees is m (GBA) = α?

Question 105-) F point in the ABC triangle is the center of the inner tangential circle, [ED] parallel [BC], | EB | + | DC | = 12 cm; | A | + | AD | What is the smallest integer value that can take?

Question 106-) ABC triangle, perpendicular to [AD] [BC], [AE] median and if its length is 16 cm, height is 12 cm; How many different integer values ​​can the bisector length of the BAC angle take?

Question 107-) ABC triangle, measure of angle A is less than 90 °, | BP | = | PC |, | AB | = 6 cm, | AC | = 8 cm; How many cm is the integer value that | AP | = x can take?

Question 108-) ABC triangle, measure of angle A is greater than 90 °, measure of angle B is greater than measure of angle C, | BC | = 10 cm, | AC | = b, | AB | = c, b and c are integers; How many different values ​​can c take?

Question 109-) ABC triangle, [AN] bisector, m (ACB) = m (PBA), | AP | = 11 cm, | BN | = 7 cm; How many integer values ​​can the | AB | = x have?

Question 110-) ABC equilateral triangle, K; a point in the triangle, | EB | = 2 cm, | BD | = 5 cm, | AC | = 8 cm; | KE| + | NE | What is the largest integer value that can get?

Question 111-) ABCD trapezoid, parallel to [AD] [BC], bottom base length 4 times the top base length, side edge length 6 cm and 8 cm; How many cm is the largest integer value the trapezoid ABCD can take?

Question 112-) ABC triangle, measure of angle A greater than 90 °, | AD | = | AB |, | AC | = 10 cm, | BC | = 16 cm; How many integer values ​​can | DC | = x have?

Question 113-)… ABCDEF… the corners of a regular polygon, [EB] diagonal, m (EBA) = 120 °; how many edges are regular polygons?

Question 114-) How many edges does the regular polygon in the figure have?

Question 115-) If ABCDEFGH is smooth octagon, G, D, P and B, C, P points are linear; How many degrees is the measure of the GCP angle?

Question 116-)… ABCDEFG… the corners of a regular polygon, m (DAB) = α, m (FGC) = β; What is the α / β ratio?

Question 117-) If KLMNP is a regular pentagon, | LP | = 12 cm; What is the circumference of the EFP triangle?

Question 118-) If ABCDEF is a regular hexagon, | FK | = | KE |, | BC | = 4 cm; What is the area of ​​the KBCD rectangle?

Question 119-) ABCDE smooth pentagon, [AS] symmetry axis, | GB | = 3 | AG |, | EF | = 12 cm; | FG | = x how many cm?

Question 120-) ABCDE smooth pentagon, [RC] perpendicular [CD], | AR | = | CD |; How many degrees is the measure of the ERA angle?

Question 121-) ABCD square, | AD | = | DC | = | CB |, the measure of angle A is 125 °, the measure of angle D is 60 °; How many degrees is x?

Question 122-) ABCD square, [AC] and [DB] diagonal, m (BAC) = 60 °, m (CAD) = 50 °, m (ADB) = 35 °, m (BDC) = 30 °; How many degrees is m (CBD) = x?

Question 123-) ABCD quadrilateral, [BD] bisector, [DC]; perpendicular to [BC], | AB | = 9 cm, | DC | = 12 cm, | BC | = 14 cm; | AD | = How many cm is x?

Question 124-) In the ABCD square; K, L, M, N are the mid-points of the edges, Area (DKN) = 6 cm², Area (ALK) = 10 cm², Area (LBM) = 16 cm²; Area (KLMN) + Area (NMC) = x + y how many cm²?

Question 125-) ABCD parallelogram, | CF | = | FB |, | BE | = 3 | AE |, Area (DEF) = 21 cm²; What is the area of ​​the parallelogram?

Question 126-) ABCD parallelogram, [AH]; perpendicular to [BC], m (BDC) = 2m (ADB), | DC | = 3 cm; | ED | = x how many cm?

Question 127-) ABCD rhombus, points E, A and C are linear, | AC | = 12 cm, | CD | = 10 cm, | EA | = 9 cm; What is | EB | = x cm?

Question 128-) ABCD parallelogram, A, E, P and D, E, F points linear, Area (AED) = Area (EFCP); | DE | / | DF | What is the rate?

Question 129-) ABCD rectangle in the figure, | AC | = | BE |, m (DCA) = 36 °, m (EBC) = 16 °; How many degrees is m (CDE) = α?

Question 130-) ABCD square, [DK] and [AF] bisector, perpendicular to [AE] [DB], the area of ​​the DKC triangle is 26 cm²; What is the area of ​​the ABF triangle?

Question 131-) ABCD rectangle in the figure, parallel to [BE] [CF], 2 | AE | = 3 | EF |, | BE | = 3root2 cm, | CF | = 13root2 cm, m (BCF) = 45 °; What is the area of ​​the rectangle?

Question 132-) ABCD square, S; The cutting point of [AC] with [EF] is | BF | = 3 cm, | ED | = 6 cm, | AB | = 18 cm; What is the Area of ​​the SFC triangle?

Question 133-) ABCD square, | DF | = | FC |, FKLN convex square area is 18 cm²; What is the length of an edge of the square?

Question 134-) ABCD square, perpendicular to [AP] [PN], perpendicular to [PN] [NC], | AP | = | PN | = | NC |; What is the area of ​​the square?

Question 135-) ABCD rectangle, [AC] diagonal, perpendicular to [SN] [ND], | AB | = | NC |, | AS | = 1 cm, | SD | = 8 cm; | AN | = x how many cm?

Question 136-) PEFT and TKMN each square, perpendicular to [TR] [FK], the area of ​​the PRNT concave rectangle is 144 cm²; | EN | how many cm is it?

Question 137-) ABCD trapezoid, [AB] parallel [DC], the measure of angle D is twice the measure of angle B, the length of the bottom base is 13 cm, the length of [AD] is 8 cm; What is the length of the upper sole?

Question 138-) ABCD upright trapezoid, | AB | ² + | BC | ² = 8 | BC |, the length of the upper sole is 4 cm; How long is the side edge x?

Question 139-) ABCD trapezoid, [ED] perpendicular [DC], E point midpoint of the sub-base, 2 | DA | = 3 | EB |, height 2 root5 cm; How many cm² is the sum of shaded areas?

Question 140-) The corners of the ABCD upright trapezoid are perpendicular to each other, the length of the upper sole is 3 cm, the length of the lower sole is 8 cm; side edge x how many cm?

Question 141-) ABCD isosceles trapezoid, CAB right triangle, bottom base 3 times upper floor, | AD | = 6 cm, | CE | = | EB |; | AE | = x how many cm?

Question 142-) ABCD right trapezoid, [DE] and [CE] bisector, if | BC | = 9 cm, | AB | = 12 cm; What is the area of ​​the ECD triangle?

Question 143-) ABCD is right trapezoid, its corners are 6 cm-8 cm and perpendicular to each other, m (EAC) = m (AEC), if the bottom base is 4 times the top base; | BE | = x how many cm?

Question 144-) If ABCD isosceles trapezoid, | DB | = 20 cm, m (CBD) = 15 °; How much cm² is the Area of ​​the trapezoid?

Question 145-) To the O-centered circle [BE [BD; [AC] at point E and D; If tangent to point F, m (AOC) = 9x, m (DBE) = 6y, 2x + 3y = 23 °, how many degrees is x?

Question 146-) [ND]; Tangent to B-centered circle at point F, perpendicular to [NK] [BD], | NK | = | BC | = | CD |; How many degrees is m (DBN)?

Question 147-) [AE] tangent to the circle at point C, | AB | = | BC |, m (CBA) = 30 °, m (AEB) = 50 °, m (BCD) = α; How many degrees is α?

Question 148-) If the center of that half circle is | AE | = | ED | = | DC |, the size of the CB arc is 36 °, m (BAE) = x; How many degrees is x?

Question 149-) In the circle in the figure, if m (ACB) = 25 °, m (CBA) = 75 °, m (DBE) = α; How many degrees is α?

Question 150-) ABCD quadrilateral, perpendicular to [BA] [AD], perpendicular to [BC] [CD], if m (CBD) = 55 °, m (CED) = 103 °; How much is m (ADB) = x?

Question 151-) Point A and C are tangent to O-centered circle, [AO] perpendicular to [OD], | AB | = 18 cm, | OA | = 6 cm; How long is | ED | = x?

Question 152-) The corner C of the CDOE square in the figure is on the beam of the O-centered circle arc, and the D and E corners are on the [AP] beam. How much is m (POA)?

Question 153-) ABCD is a square, B-centered quadrant, [DC] diameter semicircle, A, E and F linear, m (FED) = α; How many degrees is α?

Question 154-) O-centered circle spring; It passes through points A, B, D. OAC is a right triangle, | OA | = 12 cm, | DC | = 4 cm, | BC | = x; How many cm is x?

Question 155-) ABCD is a square, D-centered quadrant, [BC] diameter semicircle, | BC | = 2root10 cm; | AE | = x how many cm?

Question 156-) O-centered semicircle, ABOD and OFEC concentric rectangle, | FP | = 4 cm, | EF | = 8 cm; What is the area of ​​the shaded Area?