Question

very tough pls solve on paper

Answer 1

Angle POR = Angle QOR = 90°,

POS + ROS = 90°,

POS = 90° - ROS,

ROS = 90° - POS, - - - (i)

QOR + ROS = 90° + ROS,

90° + ROS = QOS,

ROS = QOS - 90° - - - (ii)

Adding equation 1 and 2,

ROS + ROS = ( 90° - POS) + ( QOS - 90°)

2 ROS = QOS - POS

ROS = 1 / 2 ( QOS - POS)

Hence, PROVED.