Find the measure of an angle, if six times its complement is 12° less than twice its supplement:
Answer: 48
Explanation
Let angle = x
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⇒x=48
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