Chapter 12, Problem 14MCQ

To determine

To find: The measure of the angle $\angle y$ .

Answer to Problem 14MCQ

The measure of the unknown angle $\angle y$ is ${122}^{\circ }$ .

Explanation of Solution

Given information:

  

Calculation: The sum of the given external angles of the diagram is ${360}^{\circ }$ .

Hence, $\text{y}+{141}^{\circ }+{97}^{\circ }={360}^{\circ }$

Let’s find the value of $\angle y$ ,

  $\begin{array}{c}\text{y}+{141}^{\circ }+{97}^{\circ }={360}^{\circ }\\ \text{y}+{238}^{\circ }={360}^{\circ }\\ \text{y}={360}^{\circ }-{238}^{\circ }\\ \text{y}={122}^{\circ }\end{array}$

Hence, The measure of the unknown angle $\angle y$ is ${122}^{\circ }$ .