SOLUTION: Two angles are complementary. The sum of the measure of the first angle and half the second angle is 77.5.Find the measures of the angles

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Question 360893: Two angles are complementary. The sum of the measure of the first angle and half the second angle is 77.5.Find the measures of the angles
Found 2 solutions by IWork4Dessert, missrandomgal:
Answer by IWork4Dessert(60) About Me  (Show Source):
You can put this solution on YOUR website!
Complementary angles: Two angles who, combined, amount to 90 degrees.
So let's call one of the two angles x. In your question it says "half the second angle", which would be represented as 1/2(90-x).
Therefore: x + 1/2(90-x) = 77.5
And then you just solve from there.
x + 45 - 1/2x = 77.5
1 1/2x + 45 = 77.5
Just pick up where I left off. Hope this helps!
~IW4D

Answer by missrandomgal(1) About Me  (Show Source):
You can put this solution on YOUR website!
Two complementary angles add up to 90 degrees. Subtract 77.5 from 90. and multiply the result by two.
90-77.5 = 12.5
12.5 x 2 = 25
25 is the second angle. Subtract it from 90 and you will find the measure of the first angle.
90-25 = 65 First angle= 65 Second angle= 25
I hope that I clarified it for you :]