SOLUTION: Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 76.5 degrees. Find the measures of the angles. What is the measure of

Algebra ->  Absolute-value -> SOLUTION: Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 76.5 degrees. Find the measures of the angles. What is the measure of       Log On


   

Question 240708: Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 76.5 degrees. Find the measures of the angles. What is the measure of the smaller angle?
What is the measure of the other angle?
Answer by solver91311(24713) About Me  (Show Source):
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Let represent the measure of one of the angles

Let represent the measure of the other angle

Because they are complementary:

degrees

Because of the other given:

degrees

Solve the system for and to get the measures of the angles.

John