SOLUTION: Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 84.75 degrees. Find the measures of the angles. What is the meas

Question 312126: Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 84.75 degrees.
Find the measures of the angles.
What is the measure of the smaller angle ______degrees
What is the measure of the other angle ________degrees
Answer by moshiz08(60) (Show Source): You can put this solution on YOUR website!
Complementary angles add up to 90 degrees.
Let's call the first angle x,
and the second angle y.
(eq1)
We need to express the statement as an equation:
The sum of the measure of the first angle and one-fourth the second angle is 84.75 degrees:
(eq2)
We can rewrite (eq1) as and then substitute into (eq2):

Then , so and .
I hope that helps.
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