Find the measure of an angle, if six times its complement is 12° less than twice its supplement:

Answer: 48
Explanation

Let angle = xx
Complement =
90 - x
, Supplement =
180 - x

Given:


6(90 - x) = 2(180 - x) - 12 \ 540 - 6x = 360 - 2x - 12 \ 540 - 6x = 348 - 2x \ 192 = 4x Rightarrow x = 48

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