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put this solution on YOUR website!Two angles are complementary. The sum of the measure of the first angle and half of the second angle is 72.5*. Find the measures of the angles.
What is the measure of the smaller angle?
What is the measure of the other angle?
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If two angles are complementary, the sum of the two angles equals 90 degrees.
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Let x = first angle
then
90-x = second angle
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From:"The sum of the measure of the first angle and half of the second angle is 72.5" we get our equation:
x + (1/2)(90-x) = 72.5
2x + (90-x) = 145
x + 90 = 145
x = 55 degrees (first angle - other angle)
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Second angle:
90-x = 90-55 = 35 degrees (second angle-smaller angle)
