SOLUTION: the measue of the supplement of an angle is 60 less than three times the measure of the complement of the angle. Find the measure of the angle.

Question 51577: the measue of the supplement of an angle is 60 less than three times the measure of the complement of the angle. Find the measure of the angle.
Answer by rchill(405) (Show Source): You can put this solution on YOUR website!
Supplementary angles are those that add up to 180, and complementary angles add up to 90. Let x represent the angle; then (180-x) is the supplementary angle and (90-x) is the complementary angle. Three times the measure of the complement is represented by 3*(90-x) and 60 less than that produces . We're told that . So now we just solve algebraicly. Expanding the equation produces . Now we combine like terms to get . Now add 3x to both sides to get , or . Now subtract 180 from both sides , or . Dividing both sides by 2 simplifies to . So, our angle is 15, its complement is 75, and its supplement is 165.
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