Sample Solution from
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Chapter 1
Problem 1RE
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To determine

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

Solution: The measure of the complement is 55°_ and the measure of the supplement is 145°_.

Explanation

Explanation:

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°

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