The difference in the measures of two complementary angles is 12°. Find the measure of the angles.
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Question - The difference in the measures of two complementary angles is 12°. Find the measure of the angles.
Answer - Let the angle be x.
Complement of x = 90 - x
Given their difference = 12°
Therefore, (90 - x) - x = 12°
90 - 2x = 12
-2x = 12 - 90
-2x = -78
2x/2 = 78/2
x = 39
Therefore, 90 - x = 90 - 39 = 51
Therefore, the two complementary angles are 39° and 51°
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