Chapter 12, Problem 14CR

To determine

To find: The measure of the $\text{m}\angle 2$ .

Answer to Problem 14CR

The value of angle $\text{m}\angle 2$ is ${65}^{\circ }$ .

Explanation of Solution

Given information: In the diagram , lines $m$ and $n$ are parallel, and $\text{m}\angle 1={115}^{\circ }$ .

  

Calculation:

The sum of the angles $\text{m}\angle \text{1 and m}\angle 2$ is ${180}^{\circ }$ .

Since, $\text{m}\angle 1={115}^{\circ }$ , therefore,

  $\begin{array}{c}\text{m}\angle 2={180}^{\circ }-{115}^{\circ }\\ ={65}^{\circ }\end{array}$

Hence, The value of angle $\text{m}\angle 2$ is ${65}^{\circ }$ .