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Two complementary angles add up to 90 degrees. Hence, the problem can be set up and solved. Let x represent one angle and 5x represent the angle that is 5 times greater:

x + 5x = 90 (simplify)

6x = 90 (next divide both sides by 6 to find the value of x [the smaller angle])

x = 15 (this is the smaller angle, next subtract 15 from 90 to find the greater angle)

90 - 15 = 75 (this is the greater angle which is 5 times that of its complement)

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Q: What is the measure of an angle whose measure is 5 times that of its compliment?
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