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

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) (Show Source): You can put this solution on YOUR website!
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

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

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

Step 6. Divide by 4 to both sides

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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