Chapter 3, Problem 45CUR

To determine

To prove: that $\angle 2\cong \angle 3.$ .

Explanation of Solution

Given information:

The given information is follows

  $\overline{WX}\perp \overline{XY}$

  $\angle 1$ is complement to $\angle 3$

Proof:

From the given data

  $\begin{array}{l}\angle WXY={90}^0\text{ given}\\ \angle 1+\angle 2={90}^0\text{ angle addition postulate}\\ \angle 1+\angle 3={90}^0\text{ given}\\ \angle 2\cong \angle 3\end{array}$

Hence, proved.