SOLUTION: Two supplementary angles are in the ratio of 11:7. Find the measure of the smaller angle.

Question 230562: Two supplementary angles are in the ratio of 11:7. Find the measure of the smaller angle.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Two supplementary angles are in the ratio of 11:7. Find the measure of the smaller angle.

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

Step 2. Let x be one angle.

Step 3. Let 180-x be its supplementary angle.

Step 4. since the ratio of two supplementary angles is 11:7.

Step 5. Solving yields the following steps

Multiply 7(180-x) to both sides of the equation

Add 11x to both sides of the equation

Divide by 18 to both sides of the equation

and . Also note the ratio of

Step 6. ANSWER: The smaller angle is 70 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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