SOLUTION: The difference between the measures of an angle and its supplement is fifty-eight. Find the measure of both angles

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Question 243423: The difference between the measures of an angle and its supplement is fifty-eight. Find the measure of both angles
Answer by JimboP1977(311) About Me  (Show Source):
You can put this solution on YOUR website!
Let A=Angle S=Supplement
Key point to remember is that the an angle plus its supplement always equals 180 degrees.
180 = A+S (1)
58 = A-S
58+S = A
Subsitute 58+S into equations (1)
180 = 58+S+S
180 = 58+2S
122 = 2S
61 = S
119 = A
Proof 119-61=58