SOLUTION: An angle measures 110.6� less than the measure of a supplementary angle. What is the measure of each angle?

Question 943167: An angle measures 110.6� less than the measure of a supplementary angle. What is the measure of each angle?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Sum of supplementary angles=180 degrees
Let A=angle; Let A+110.6=supplementary
A+A+110.6=180 degrees Subtract 110.6 from each side
2A+110.6-110.6=180-110.6
2A=69.4 divide each side by 2

A=34.7 degrees ANSWER Angle is 34.7 degrees
34.7+110.6=145.3 degrees ANSWER Supplementary angle is 145.3 degrees
CHECK
34.7 degrees+145.3 degrees=180 degrees
180 degrees=180 degrees
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