Question

please solve this problem

Answer 1

HEY MATE,HERE'S UR ANS ↓↓

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GIVEN, OR perpendicular to PQ

R.T.P :- ∠ ROS = 1/2 (∠QOS - ∠POS)

PROOF :- ∵ OR PERPENDICULAR TO PQ
∴ ∠ ROQ = ∠ ROP = 90°

NOW, ∠QOS = ∠ ROQ + ∠ROS

⇒ ∠ QOS = ∠ROP + ∠ROS

⇒ ∠QOS = ∠ROP + ∠ ROS

⇒ ∠QOS = ∠POS + ∠ROS + ∠ROS

⇒ ∠QOS - ∠POS = 2∠ ROS

⇒ 1/2 (∠ QOS - ∠ POS ) =∠ROS

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