Question

Prove Angle ROS is half of (angle QOS- angle POS)

Answer 1

Answer:

Hence Proved See The Explanation

Step-by-step explanation:

ANSWER

From the figure

∠ROS+90∘ =∠QOS

⟹ 90∘ =∠QOS−∠ROS

∠QOS+∠POS=180° =2(90∘)

∠QOS+∠POS=2∠QOS−2∠ROS

⟹ 2∠ROS=∠QOS−∠POS

⟹ ∠ROS= 1/2(∠QOS−∠POS)