Chapter 12.1, Problem 2C

To determine

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

Answer to Problem 2C

The pair of angles with $m\angle 3={146}^o$ and $m\angle 4={44}^o$ are neither complementary nor supplementary to each other.

Explanation of Solution

Given Information: The measures of the two angles are $m\angle 3={146}^o$ and $m\angle 4={44}^o$

Concept Used: If the sum 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 thetwo angles is $146+44={190}^o$ .

But, ${190}^o$ is neither ${90}^o$ nor ${180}^o$ .

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