SOLUTION: Two angles are complementary. The sum of the measures of the first angle and half the second angle is 64 degrees. Find the measures of the angles.

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Question 113313This question is from textbook elementary and intermediate algebra
: Two angles are complementary. The sum of the measures of the first angle and half the second angle is 64 degrees. Find the measures of the angles. This question is from textbook elementary and intermediate algebra

Answer by stanbon(75887) About Me  (Show Source):
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Two angles are complementary. The sum of the measures of the first angle and half the second angle is 64 degrees. Find the measures of the angles.
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1st angle: x
2nd angle: 90-x
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EQUATION:
x + (1/2)(90-x) = 64
x + 45 - x/2 = 64
x/2 = 19
x = 38 degrees
90-x = 52 degrees
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Cheers,
Stan H.