# 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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