SOLUTION: An angle is 45 degree less than two times of its supplement , than the greater angle is

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Question 921725: An angle is 45 degree less than two times of its supplement , than the greater angle is
Answer by MathLover1(20850) About Me  (Show Source):
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given:
An angle alpha is 45 degree less than two times of its supplement beta:
alpha=2beta-45.......eq.1

Two angles are called supplementary angles if the sum of their degree measurements equals ..........eq.1...substitute alpha from eq.1
2beta-45%2Bbeta=180
3beta=180%2B45
3beta=225
beta=225%2F3
beta=75
and alpha=180-beta=>alpha=180-75=>alpha=105
so, the greater angle is alpha=105