Chapter 12.1, Problem 11E

To determine

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

Answer to Problem 11E

The pair of angles measuring $m\angle 1={22}^o$ and $m\angle 2={58}^o$ are neither complementary nor supplementary to each other.

Explanation of Solution

Given Information: The measure of the two angles given are $m\angle 1={22}^o$ and $m\angle 2={58}^o$

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 measure of the two angles is $m\angle 1+m\angle 2=22+58={80}^o$ .

But, ${80}^o$ is neither equal to ${90}^o$ nor ${180}^o$ .

Therefore, the given pair of angles are neither complementary nor supplementary.