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


Let x be the angle.


According to question,


(90 - x)° is the complementary angle.


(180 - x)° is the supplementary angle.


According to question,


5 X (90 - x) =2 X (180 -x) -12


450 – 5x = 360 – 2x – 12


3x = 450 – 348


3x = 102


x = 34°


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