Chapter 1, Problem 1RE

Give the measures of the complement and the supplement of an angle measuring 35°.

To determine

To calculate: The measures of the complement and the supplement of an angle measuring $35°$.

Answer to Problem 1RE

Solution: The measure of the complement is $\underset{\_}{55°}$ and the measure of the supplement is $\underset{\_}{145°}$.

Explanation of Solution

Given: An angle measuring $35°$

Formula used: If the sum of the measures of two positive angles is $90°$, the angles are complementary angles.

And if the sum of the measures of two positive angles is $180°$, the angles are supplementary angles.

Calculation:

Consider the given angle measuring $35°$.

Compute the measure of the complement of given angle by subtracting it from $90°$. So, the measure of the complement of the given angle measuring $35°$ will be

$90°-35°=55°$

Compute the measure of the supplement of given angle by subtracting it from $180°$. So, the measure of the supplement of the given angle measuring $35°$ will be

$180°-35°=145°$