SOLUTION: Given that angle 1 is complementary to angle 2 and that angle 2 = 8 degrees, find angle 1

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Question 515113: Given that angle 1 is complementary to angle 2 and that angle 2 = 8 degrees, find angle 1
Found 2 solutions by Alan3354, drcole:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the 2 angles is 90 degrees

Answer by drcole(72) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles are complementary if the sum of the measures of the two angles is 90 degrees. In other words:
measure(angle 1) + measure(angle 2) = 90
We know that the measure of angle 2 is 8 degrees, so we substitute into the equation and solve:
measure(angle 1) + 8 = 90
measure(angle 1) = 82 (subtracting 8 from both sides)
So angle 1 measures 82 degrees.