Concept explainers
The measures of the
Answer to Problem 31WE
The measure of the angle is
The measure of its supplement is
The measure of its complement is
Explanation of Solution
Given information:
A supplement of an angle is six times as large as a complement of the angle.
Suppose the measure of the angle be
Then the measure of its supplement is
Then the measure of its complement is
The measure of the supplement of the angle is 6 times as large as a complement of the angle
Simplifying this gives
Thus, the measure of the angle is
Then the measure of its supplement is
Then the measure of its complement is
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