Chapter 2.4, Problem 3CE

To determine

The measure of complement and supplement of an angle.

Answer to Problem 3CE

The complementary angle is $\left({89}^{°},1^{°}\right)$ and supplementary angle is $\left({89}^{°},{91}^{°}\right)$

Explanation of Solution

Given information : It is given that the measure of the angle is $m\angle A={89}^{°}$

Two angles are said to be complementary if the sum of their measure is ${90}^{°}$

And two angles are said to be supplementary if the sum of their measure is ${180}^{°}$

Then the complementary of $m\angle A={89}^{°}$ is ${90}^{°}-{89}^{°}=1^{°}$

The supplementary of $m\angle A={89}^{°}$ is ${180}^{°}-{89}^{°}={91}^{°}$