SOLUTION: angle 1 and 2 are complementary. If angle 1 was eight degrees less and angle 2 was fifty-seven degrees more, then they would be of equal measure. What are the measures of the two a

Algebra ->  Angles -> SOLUTION: angle 1 and 2 are complementary. If angle 1 was eight degrees less and angle 2 was fifty-seven degrees more, then they would be of equal measure. What are the measures of the two a      Log On


   

Question 173163: angle 1 and 2 are complementary. If angle 1 was eight degrees less and angle 2 was fifty-seven degrees more, then they would be of equal measure. What are the measures of the two angles?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
angle 1 and 2 are complementary. If angle 1 was eight degrees less and angle 2 was fifty-seven degrees more, then they would be of equal measure. What are the measures of the two angles?
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Let angle 1 be "x"; then angle 2 is "90-x"
EQUATION:
x-8 = 90-x + 57
2x = 155
x = 72.5 degrees
90-x = 17.5 degrees
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Cheers,
Stan H.