SOLUTION: Find the number of degrees in an angle that measures 10 degrees more than its supplement

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Question 503852: Find the number of degrees in an angle that measures 10 degrees more than its supplement
Answer by MathLover1(20850) About Me  (Show Source):
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Supplementary Angles add up to 180°.
let angles be alpha and beta

alpha%2Bbeta=180°.........1
given:
alpha measures 10 degrees more than beta; so,
alpha=beta%2B10....substitute in 1

beta%2B10%2Bbeta=180°....find beta

2beta=180-10°

2beta=170°

beta=170%2F2°
beta=85°
now find alpha

alpha=beta%2B10°

alpha=85%2B10°
alpha=95°