SOLUTION: Two angles are complementary. The sum of the measure of the first angle and one-forth the second angle is 81.75 degrees. Find the measure of the angles. What is the measure of

Question 162283: Two angles are complementary. The sum of the measure of the first angle and one-forth the second angle is 81.75 degrees. Find the measure of the angles.
What is the measure of the smaller angle? ____ degrees
What is the measure of the other angle? ______ degrees
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
Let A1 be the first angle and A2 be the second angle. Since they are complementary, you can write the following equation:
Equation #1:
From the given information, you can also write this equation:
Equation #2:
Now you have 2 equations and 2 unknowns, so you can solve the problem.
First, solve equation #1 for A1:

Next, substitute this expression for A1 into Equation #2:

Now, you can solve for A2:

Next, just plug this value for A2 into equation #1 and you will have the value for A1. I will leave this part to you :-)
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Good Luck,
tutor_paul@yahoo.com
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