List of practice Questions

In Figure, lines AB and CD intersect at O. If \(∠\)AOC+\(∠\)BOE=70° and \(∠\)BOD=40°, find \(∠\)BOE and reflex \(∠\)COE.

In Figure, lines XY and MN intersect at O. If \(∠\)POY=90° and a:b=2:3, find c.

In Figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that \(∠\)ROS = \(\frac{1}{2}\) (\(∠\)QOS – \(∠\)POS)

It 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 reflex \(∠\)QYP.

In Figure, \(∠\)PQR = \(∠\)PRQ, then prove that \(∠\)PQS = \(∠\)PRT.

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