Chapter 1.5, Problem 12PSA

To determine

To Prove: $\angle RWS\cong \angle PWS$ .

Explanation of Solution

Given:

  

  $\overrightarrow{WS}\text{ bisects }\angle RWP$

Concept Used:

Bisector of an angle divides into two equal parts.

Proof:

Here, we have

  $\begin{array}{l}\overrightarrow{WS}\text{ bisects }\angle RWP\\ \Rightarrow m\angle RWS=m\angle PWS\\ \Rightarrow \angle RWS\cong \angle PWS\end{array}$