find the measure of an angle which is four times its complement
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The complement of the angle x is given by (90 - x). Hence, the angle which is four times its complement is 72 degrees.
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find the measure of an angle which is four times its complement
Let the angle be x
Then it's complement = (4x)
We know that if the sum of two angles is equal to 90
then the angles are said to be complementary.
4x+x=90
⇒5x=90
⇒x=90/5
⇒x=18
Hence, the angle = 180
and its complement = (4×18)=72
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