An angle is equal to five times its complement

Asked by admin @ in Math viewed by 292 People

An angle is equal to 5 times its complement determine its measure

Answered by admin @


Note: We know that two angles are complementary when they add up to 90 degrees.

Let one angle be x.

Then the complement of it = 90-x.

Given that An angle is equal to 5 times its complement.

x = 5(90 - x)

x = 450 - 5x

6x = 450

x = 450/6

x = 75.


Hence the measure of an angle = 75. The other will be 90 - x = 90 - 75 = 15.


Hope this helps!

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