Chapter 12, Problem 9CR

To determine

To find: The angle $m\angle 2$.

Answer to Problem 9CR

The value of $m\angle 2\text{ is }59°$ .

Explanation of Solution

Given information: $\angle 1$and $\angle 2$ are the supplementary angles and $m\angle 1=121°$

Calculation:

We know, the summation of the two supplementary angles is $180°$ .

As the given angles $\angle 1$and $\angle 2$ are supplementary angles,

  $\begin{array}{c}m\angle 1+m\angle 2=180°\\ m\angle 2=180°-m\angle 1\\ m\angle 2=180°-121°\\ m\angle 2=59°\end{array}$

Hence, The value of $m\angle 2\text{ is }59°$ .