Chapter 12.2, Problem 31E

To determine

To identify: The angles are complementary, supplementary or neither.

Answer to Problem 31E

They are complementary angles.

Explanation of Solution

Given information : $m\angle 5={24}^{\circ }$ and $m\angle 6={66}^{\circ }$

Concept used : If the sum of angles be ${90}^{\circ }$ , then they are known as complementary angles. Add the measurement of the angles.

Calculation :

  $\begin{array}{l}m\angle 5+m\angle 6={24}^{\circ }+{66}^{\circ }\\ \Rightarrow m\angle 5+m\angle 6={90}^{\circ }\end{array}$

Thus, They are complementary angles.