SOLUTION: what is the measure of an angle that is one fourth as large as its supplement

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Question 222864: what is the measure of an angle that is one fourth as large as its supplement
Answer by drj(1380) About Me  (Show Source):
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What is the measure of an angle that is one fourth as large as its supplement.

Step 1. Supplementary angles means two angles add up to 180 degrees.

Step 2. Let x be the angle.

Step 3. Let 180-x be the supplementary angle.

Step 4. Then x=%28180-x%29%2F4 since the measure of an angle that is one fourth as large as its supplement.

Step 5. Solving the equation in Step 4 yields the following steps.

Multiply 4 to both sides to get rid of the denominator

4x=4%28180-x%29%2F4

4x=180-x

Add x to both sides of the equation

4x%2Bx=180-x%2Bx

5x=180

Divide 5 to both sides of the equation

5x%2F5=180%2F5

x=36 and 180-x=144 where 36 is one-fourth of 144.

Step 6. ANSWER: The angle is 36 degrees.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J