SOLUTION: The measure of an angle is 36 degrees less than the measue of its supplement. What is the measure of the angle and its supplement.

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Question 215573: The measure of an angle is 36 degrees less than the measue of its supplement. What is the measure of the angle and its supplement.

Answer by drj(1380) About Me  (Show Source):
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The measure of an angle is 36 degrees less than the measure of its supplement. What is the measure of the angle and its supplement.

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

Step 2. Let x be the angle and 180-x be the supplement.

Step 3. Then x=180-x-36 since the measure of an angle is 36 degrees less than the measure of its supplement. Solving yields the following steps

Add x to both sides of the equation to get

x%2Bx=180-x-36%2Bx

2x=144

Divide 2 to both sides of the equation

2x%2F2=144%2F2

x=72 and 180-x=108 where x is 36 degrees less than its supplement of 108 degrees.

Step 4. ANSWER: The angle is 72 degrees and its supplement is 108 degrees.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J