Chapter 12, Problem 22CR

To determine

To find: The value of $y^{\circ }$ .

Answer to Problem 22CR

The value of $y^{\circ }$ is ${161}^{\circ }$ .

Explanation of Solution

Given information : Measurement of the two exterior angle of the triangle are ${97}^{\circ }$ and ${102}^{\circ }$ .

Concept used: The sum of exterior angles of a triangle is ${360}^{\circ }$ .

Calculation :

3^rd exterior angle $=$ [ ${360}^{\circ }$ - sum of other two exterior angles]

So,

  $\begin{array}{c}m\angle y^{\circ }={360}^{\circ }-\left({97}^{\circ }+{102}^{\circ }\right)\\ ={360}^{\circ }-{199}^{\circ }\\ ={161}^{\circ }\end{array}$