SOLUTION: The measure of angle XYZ is 46 degrees more than the measure of its supplement. Find measure of angle XYZ.

Question 222838: The measure of angle XYZ is 46 degrees more than the measure of its supplement. Find measure of angle XYZ.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
The measure of angle XYZ is 46 degrees more than the measure of its supplement. Find measure of angle XYZ.

Step 1. Let angle x equal to angle XYZ.

Step 2. Supplementary angles means two angles add up to 180 degrees.

Step 3. Let 180-x be the supplement.

Step 4. x=180-x+46=134-x since the angle x or XYZ is 46 degrees more than the measure of its supplement.

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

Add x to both sides of the equation

Divide 2 to both sides of the equation

and . Note that the supplementary angle of 113 is 46 degrees more than the angle of 67 degrees as required and given in the problem.

Step 6. ANSWER: The angle XYZ or angle x is 67 degrees.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J
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