SOLUTION: The measure of an angle is thirty-five times the measure of a complementary angle. What is the measure of each angle?
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Question 831007: The measure of an angle is thirty-five times the measure of a complementary angle. What is the measure of each angle? Answer by JulietG(1812) (Show Source):
You can put this solution on YOUR website! What is a complementary angle? Two angles are complementary if they add up to 90 degrees.
Let A be the larger angle
Let B be the smaller angle
Given that, here is the information we get from the problem:
A = 35B
A + B = 90
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Substitute the value of A into the second equation.
35B + B = 90
Add the Bs
36B = 90
Divide each side by 36
B = 2.5 degrees
If B is 2.5 degree, how large is A? 90 - 2.5 degrees = 87.5 degrees.
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Let's see if that works in the original question.
87.5 degrees is 35x 2.5 degrees. Multiply 2.5 * 35 = 87.5
Success!
