SOLUTION: angle a is twice as large its supplement angle b

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Question 221174: angle a is twice as large its supplement angle b
Answer by drj(1380) About Me  (Show Source):
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Angle a is twice as large its supplement angle b.

Step 1. Let a be the angle.

Step 2. Let 180-a be its supplement.

Step 3. Then a=2(180-a) since angle a is twice as large as its supplement.

Step 4. Simplifying yields a=360-2a or 3a=360 after adding 2a to both sides of the equation. Divide by 3 to both sides of the equation yields a=120 degrees.

Step 5. Angle b is 180-120=60 degrees.

Step 6. ANSWER: The angles are 60 and 120 degrees.

I hope the above steps and explanation were helpful.

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

Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

Respectfully,
Dr J