Chapter 2.7, Problem 3PSA

To determine

To prove : The congruency of $\angle 1\cong \angle 4$ is to be proved

Explanation of Solution

Given information : The following set of information is given

  $\angle 1\cong \angle 3$

  $\angle 2\cong \angle 3$

  $\angle 2\cong \angle 4$

Formula used : Virtue of congruency is used

Proof : By the virtue of congruency, when we use all three relations stated above, we get

  $\angle 1\cong \angle 2\cong \angle 3\cong \angle 4$

Hence, from the final relation we can say that

  $\angle 1\cong \angle 4$

Thus, the asked congruency is proved