SOLUTION: Define a variable, set up an equation and solve each problem. 1. An angle measures 17 degrees more than its complement. Find the measure of the angle. 2. An angle measures 5

Algebra ->  Expressions-with-variables -> SOLUTION: Define a variable, set up an equation and solve each problem. 1. An angle measures 17 degrees more than its complement. Find the measure of the angle. 2. An angle measures 5       Log On


   

Question 107526: Define a variable, set up an equation and solve each problem.
1. An angle measures 17 degrees more than its complement. Find the measure of the angle.
2. An angle measures 5 degrees more than three times its supplement. Find the measure of the angle.
Answer by solver91311(24713) About Me  (Show Source):
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The sum of an angle and its complement is 90 degrees. So if the measure of one of the angles is x, then the measure of the other angle is x-17 and x+%2B+%28x-17%29+=90

2x-17=90
2x=107
x=53.5

The sum of an angle and its complement is 180.
1st angle = x
2nd angle = %28x-5%29%2F3

x+%2B+%28%28x-5%29%2F3%29=180

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