Chapter 2, Problem 21RP

To determine

To Calculate: The measure of $\angle PRS$

Answer to Problem 21RP

The required angle is $43.63$

Explanation of Solution

Given information: In this question, it is given that $\angle PQR\cong \angle PRQ$

  $\overrightarrow{QS}$ bisects $\angle PQR$

  $\overrightarrow{RS}$ bisects $\angle PRQ$

  $\angle PQR={87}^{\circ }26\text{'}$

Calculation: Here, $\angle PQR=\angle PRQ$ Let $\angle PRQ$ be $\angle 3+\angle 4$

Now, $87.26=\angle 3+\angle 4$

And, $43.63=2\angle 3$

  $\angle 3=43.63$

i.e., $\angle PRS=43.63$

Hence, The required angle is $43.63$