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

Question 222864: what is the measure of an angle that is one fourth as large as its supplement
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
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 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

Add x to both sides of the equation

Divide 5 to both sides of the equation

and where 36 is one-fourth of 144.

Step 6. ANSWER: The angle is 36 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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