SOLUTION: 10) Two angles are complementary if their sum is 90e. If the measure of the first angle is xe, and the measure of the second angle is (3x - 2)e, find the measure of each angle.

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: 10) Two angles are complementary if their sum is 90e. If the measure of the first angle is xe, and the measure of the second angle is (3x - 2)e, find the measure of each angle.      Log On


   

Question 101516: 10) Two angles are complementary if their sum is 90e. If the measure of the first angle is xe, and the measure of the
second angle is (3x - 2)e, find the measure of each angle.
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
You are told that one angle is x degrees and its complement is 3x - 2 degrees.
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By definition they must add together to total 90 degrees. So you can write the equation:
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x + 3x - 2 = 90
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Add the two terms containing x and the equation becomes:
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4x - 2 = 90
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Get rid of the -2 on the left side by adding +2 to both sides. The addition of +2 on the
left side cancels the -2 and you get:
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4x = 92
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Solve for x by dividing both sides by 4:
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x = 92/4 = 23 degrees
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If this angle is 23 degrees, then its complement is 67 degrees because the sum of the two
angles must be 90 degrees.
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Hope this helps you to understand the problem.
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