SOLUTION: Two angles atre complementary. The sum of the measure of the first angle and one-fourth the second angle is 69 degrees. Find the measure of the angles.
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Question 191952: Two angles atre complementary. The sum of the measure of the first angle and one-fourth the second angle is 69 degrees. Find the measure of the angles. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! Two angles atre complementary. The sum of the measure of the first angle and one-fourth the second angle is 69 degrees. Find the measure of the angles.
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Two angles are complementary if their sum equals 180 degrees.
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Let x = measure of second angle
then
180-x = measure of first angle
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(180-x) + (1/4)x = 69
720 - 4x + x = 276
720 - 3x = 276
-3x = -444
x = 148 degrees (second angle)
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First angle:
180-x = 180-148 = 32 degrees (first angle)
