SOLUTION: The measure of one acute angle in a right triangle is four times the measure of the other angle. Write and solve a system of equations to find the measures of the acute angles.

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Question 824736: The measure of one acute angle in a right triangle is four times the measure of the other angle. Write and solve a system of equations to find the measures of the acute angles.
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
A much easier way to solve this is setting up one equation rather than two:
180 = 90 + x + 4x
Solve for x we get:
x = 18
so now we know the angles are:
18 degrees and 72 degrees.
Make sense?
RJ
www.math-unlock.com