Chapter 2.2, Problem 9PSA

To determine

To Prove: $\angle MRP$ is a right angle.

Explanation of Solution

Given information: $\angle MRP$ is complementary to $\angle PRO$

  

Proof: $\angle MRO$ is complementary to $\therefore$ . (Given)

  $\therefore$ $\angle MRO+\angle ORP={90}^{\circ }$ (By definition of complementary angles).

  $\therefore$ $\angle MRP={90}^{\circ }$ ( $\because \angle MRP=\angle MRO+\angle ORP$ ).

  $\because \angle MRP$ Is right angle.