Question

prove that angle ROS =1/2 ( ANGLE QOS - ANGLE POS)​

Answer 1

Answer:

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Step-by-step explanation:

so as proof

∠POR =∠QOR = 90° (Perpendicular)

Now, ∠POR=90°

∠POS + ∠ROS=90°=∠QOR

∠POS + ∠ROS=∠QOR

On adding ∠ROS both sides,

∠POS + ∠ROS+∠ROS =∠QOR+∠ROS

∠POS+ 2∠ROS= ∠QOS

2∠ROS= ∠QOS - ∠POS

∠ROS= ½[∠QOS - ∠POS]