Chapter 2.7, Problem 2PSA

To determine

To Prove : The congruency of $\angle 1\cong \angle 3$ is to be concluded

Explanation of Solution

Given information : The following information is given

  $\angle 1\cong \angle 2$

  $\angle 2\cong \angle 3$

Formula used : The virtue of congruency is used

Proof : We will be using virtue of congruency to solve the following

Hence, we can say that if

  $\angle 1\cong \angle 2$ , and

  $\angle 2\cong \angle 3$

Then, by the virtue of congruency

  $\angle 1\cong \angle 2\cong \angle 3$

Hence, we can also say from the above equation that

  $\angle 1\cong \angle 3$

Thus, the desired equation has been concluded