An angle is 5 times the measure of its complement. find the measure of the larger angle

75°

Step-by-step explanation:

The angle is our unknown, so we will call it x.  If x is the angle, then its complement is 90 - x (complementary angles add up to 90).  The word "is" means "equals", and "5 times" is multiplying the complementary by 5:

x = 5(90 - x) so

x = 450 - 5x

Combine like terms to get

6x = 450 so

x = 75

The other angle, the complement to that angle, is 90 - 75 = 15

The larger angle is 75°

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the answer is b.)

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