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OpenStudy (anonymous):
The sum of the measures of two complementary angles exceeds the difference of their measures by 72°. Find the measure of the smaller angle.
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OpenStudy (anonymous):
Complementary angles have measures that add up to 90. Let one angle have measure x. The other angle has measure 90 - x Sum of measures: x + (90 - x) Difference of their measures: x - (90 - x) Sum of measures exceeds diff of measures by 72: x + (90 + x) = x - (90 - x) + 72 Solve for x
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