the measure of an angle exceeds three times the measure of its supplement by 20 degree. find its measure
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An angle and it's supplement add to 180 degrees: A + As = 180.
The supplement of an angle As = 180-A
A = 3As +20 substitute 180-A in place of As
A = 3(180-A)+20 distribute 3 through the parenthesis
A = 540-3A+20 add 3A to both sides
4A = 560 divide both sides by 4
A = 560/4
A = 140 degrees
Check answer:
As = 180-140 = 40 the supplemental angle is 40 degrees
A = 3As+20
140 = 3(40)+20
140 = 140
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