Chapter 12.1, Problem 13E

To determine

Whether a given pair of angles are complementary, supplementary or neither.

Answer to Problem 13E

The pair of angles measuring $m\angle 5={37}^o$ and $m\angle 6={53}^o$ are complementary to each other.

Explanation of Solution

Given Information: The measures of the two angles given are $m\angle 5={37}^o$ and $m\angle 6={53}^o$

Concept Used: If the sum of the measures of two angles is ${90}^o$ then the angles are called complementary angles and if the sum is ${180}^o$ then the angles are called supplementary angles.

The sum of the measures of the two angles is $m\angle 5+m\angle 6=37+53={90}^o$ .

Therefore, the given two angles are a complementary angle pair. $$