Chapter 12, Problem 7CR

To determine

To find the value of $m\angle 2$ .

Answer to Problem 7CR

The value of the $m\angle 2$ can be obtained as,

  $m\angle 2=14°$

Explanation of Solution

Given information:

The angles $\angle 1\text{and }\angle 2$ are the complementary angles.

The value is given as, $m\angle 1=76°$ .

Calculation:

If the two angles are the complementary angles, the sum of both the angles are $90°$ .

So, the value of the $m\angle 2$ can be obtained as,

  $\begin{array}{l}m\angle 2=90°-m\angle 1\\ m\angle 2=90°-76°\\ m\angle 2=14°\end{array}$

Therefore,

The value of the $m\angle 2$ can be obtained as,

  $m\angle 2=14°$