SOLUTION: Two angles are complementary. The measure of one angle is 12° more than one-half of the measure of the other. Find the measure of each angle.
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Question 523937: Two angles are complementary. The measure of one angle is 12° more than one-half of the measure of the other. Find the measure of each angle.
You can put this solution on YOUR website! Two angles are complementary. The measure of one angle is 12° more than one-half of the measure of the other. Find the measure of each angle.
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The sum of two angles that are complementary is 90 degrees.
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Let x = one of two angles
then
(1/2)x + 12 = second angle
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x + (1/2)x + 12 = 90
x + (1/2)x = 78
(2/2)x + (1/2)x = 78
(3/2)x = 78
x = (2/3)78
x = (2)26
x = 52 degrees (first angle)
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second angle:
(1/2)x + 12 = (1/2)52 + 12 = 26 + 12 = 38 degrees
