Question
The sum of the measures of two complementary angles is 90 degrees. If one angle measures
27 degrees more than twice the measure of the other, find the measure of the smaller angle.
27 degrees more than twice the measure of the other, find the measure of the smaller angle.
Answers
Answered by
GPT 3.5
Let the smaller angle be x degrees.
Therefore, the larger angle is 2x + 27 degrees.
Since the two angles are complementary, their sum is 90 degrees:
x + 2x + 27 = 90
3x + 27 = 90
3x = 63
x = 21
Therefore, the smaller angle measures 21 degrees.
Therefore, the larger angle is 2x + 27 degrees.
Since the two angles are complementary, their sum is 90 degrees:
x + 2x + 27 = 90
3x + 27 = 90
3x = 63
x = 21
Therefore, the smaller angle measures 21 degrees.
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