SOLUTION: the measure of an angle is one-third the measure of its supplement. find the measure of the angle?

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Question 212340: the measure of an angle is one-third the measure of its supplement. find the measure of the angle?
Answer by drj(1380) About Me  (Show Source):
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The measure of an angle is one-third the measure of its supplement. Find the measure of the angle?

Step 1. Let x be the angle.

Step 2. Let 180-x be the supplementary angle.

Step 3. Angle x is one-third of its supplement 180-x which translates to

x=%28180-x%29%2F3

Step 4. Multiply by 3 to both sides of equation in Step 3 to get rid of denominator

3x=3%28180-x%29%2F3

3x=180-x

Step 5. Add x to both sides of equation in Step 4 to isolate x in one side.

3x%2Bx=180-x%2Bx

4x=180

Step 6. Divide by 4 to both sides

4x%2F4=180%2F4

x=45

Step 7. ANSWER: The angle x is 45 degrees and its supplement is 180-45 or 135. Note that 45 is one-third of 135.

Hope this helps...and good luck in your studies! Dr J

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