Lines and Angles

Question 1In Fig. lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE.

Question 2In Fig. lines XY and MN intersect at O. If ∠POY = 90° and a : b = 2 : 3, find c.

Question 3In Fig. ∠PQR = ∠PRQ, then prove that ∠PQS = ∠PRT.

Question 4In Fig. if x + y = w + z, then prove that AOB is a line.

Question 5In Fig. POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that∠ROS =...

Question 6It is given that ∠XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find ∠XYQ and...

Question 1In Fig. if AB || CD, CD || EF and y : z = 3 : 7, find x.

Question 2In Fig. if AB || CD, EF ⊥ CD and ∠GED = 126°, find ∠AGE, ∠GEF and ∠FGE.

Question 3In Fig. if PQ || ST, ∠PQR = 110° and ∠RST = 130°, find ∠QRS.

Question 4In Fig. if AB || CD, ∠APQ = 50° and ∠PRD = 127°, find x and y.

Question 5In Fig. PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves...