Question

Find the measure of an angle, if six times of its complement is 12c less than twice ofits supplement.

Answer 1

Let the angle be 90-x .

It's supplement is 90 + x
It's complement is x

Given,
6 ( x) +12 = 2 ( 90+ x)
6x +12 = 180 + 2x
4x = 168 .
x = 42 .

Therefore the angle is 90-42 = 48 .

Hope this helps!

Answer 2

Hey!


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Let compliment be x
Let it's supplement be 90-x
Let angle be 90-x


A.T.Q

6 (x) + 12 = 2 (90+x)
6x+12= 180+2x
6x-2x= 180-12
4x= 168
x= 42

Angle measure = 90-42=48°


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Hope it helps...!!!