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An angle ____ is four times its complement.

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Detailed Solution

An angle

720

is four times its complement.
It is given that an angle is four times its complement.
We know that the complementary angles are a pair of angles whose sum is equal to

90 °

.
Let the angle be x.
So, the complement of

x

90 ° - x .

Then,

x = 4 (90 ° − x) x = 360 ° − 4 x x + 4 x = 360 ° 5 x = 360 ° x = 72 °

Thus, the value of x is

720

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