Chapter 2.7, Problem 1PSA

To determine

To prove : The congruency of $\angle Y\cong \angle Z$ is to be concluded

Explanation of Solution

Given information : The following information has been given

  $\angle X\cong \angle Z$

  $\angle X\cong \angle Y$

Formula used : The virtue of congruency is used

Proof : We follow the following procedure

If

  $\angle X\cong \angle Z$ ,

And

  $\angle X\cong \angle Y$ ,

Then by virtue of congruency

  $\angle X\cong \angle Y\cong \angle Z$

Hence, we can also say that

  $\angle Y\cong \angle Z$

Thus, the required congruency is proved