Question

find the angle whose measure is five times its complement

Answer 1

This will be the equation x=5(90-x)
solution= x=5(90-x)              
                x+5x=90
                6x=90
                 6x/6=90/6   {divide by 6 to both the side to x}
                  x=15

ans= The angle is 15 degree and its compliment angle is 75 degree

Answer 2

Heya user
Here is your answer !!

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Let the angle be x .
There fore , its supplement angle is = x / 5 .

Two angles whose sum is 90 degree are called supplement angles .

So , acc. to the question ,
x + x / 5 = 90
=> 6x / 5 = 90
=> x = 90 * 5 / 6
=> x = 75 .

So , the measure of the angle is 75 degree
and its complementary angle is ( 90 - 75 ) degree = 15 degree .

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Hope it helps !!