SOLUTION: Two supplementary angles differ by 44.Find the angles.

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Question 641700: Two supplementary angles differ by 44.Find the angles.
Answer by MathLover1(20850) About Me  (Show Source):
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Supplementary angles add up to 180°.
alpha%2Bbeta=180..........1
given:
alpha-beta=44...........2
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alpha%2Bbeta=180..........1...solve for alpha
alpha=180-beta.......plug it in 2
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180-beta-beta=44...........2
180-2beta=44
180-44=2beta
136=2beta
136%2F2=beta
highlight%2868=beta%29....now find alpha
alpha=180-beta
alpha=180-68
highlight%28alpha=112%29