Chapter 12.4, Problem 11E

To determine

To Find: The value of $xandy.$

Answer to Problem 11E

  $x={79}^{°},y={22}^{°}$

Explanation of Solution

Given:

  

Since two sides are congruent, it is an isosceles triangle.

Thus

Using the base angle theorem.

  $x={79}^{°}$

Now using the angle sum property.

  $\begin{array}{l}{79}^{°}+x^{°}+y^{°}={180}^{°}\\ {79}^{°}+{79}^{°}+y^{°}={180}^{°}\\ y^{°}=180-158\\ y={22}^{°}\end{array}$

Hence, $x={79}^{°},y={22}^{°}$