Chapter 11.1, Problem 16IP

To determine

To find: $\angle 5$

Answer to Problem 16IP

  $m\angle 5={52.6}^0$

Explanation of Solution

Given information:

  $m\angle 6={52.6}^0$

From the given figure

We can say that $\angle 3$ and $\angle 6$ are alternate interior angles.

As we know alternate interior angles are congruent.

So,

  $m\angle 3={52.6}^0$

From the given figure

We can say that $\angle 3$ and $\angle 5$ are Vertical angles.

As we know Vertical angles are congruent.

So,

  $m\angle 5={52.6}^0$

Therefore,

  $m\angle 5={52.6}^0$