Question

Prove that angle Ros=1/2{angle Qos-angle Pos}

Answer 1

Step-by-step explanation:

ello friend

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To prove :- Angle ROS = 1/2 ( Angle QOS - POS )

Proof :- Angle POR = Angle ROS = 90 degree ( Perpendicular )

Angle QOS = Angle ROQ + Angle ROS

Angle QOS = 90 degree + Angle ROS ----------------- Eqn 1

Angle POS = Angle POR - angle ROS

Angle POS = 90 degree - Angle ROS ---------------Eqn 2

Now, 

         Subtracting Eqn 1 & 2

Angle QOS - Angle POS = 90 degree + Angle ROS - ( 90 degree - ROS )

Angle QOS - Angle POS = 90 + Angle ROS - 90 degree + Angle ROS

Angle QOS - Angle POS = 2 Angle ROS

Angle ROS = 1/2 ( Angle QOS - Angle POS )

HENCE PROVED

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