SOLUTION: The second angle of a triangle is three times the first and the third is 12 degrees less than twice the first. Find the measures of the angles.

Question 227900: The second angle of a triangle is three times the first and the third is 12 degrees less than twice the first. Find the measures of the angles.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
The second angle of a triangle is three times the first and the third is 12 degrees less than twice the first. Find the measures of the angles.

Step 1. Let x be the first angle.

Step 2. Let 3x be the second angle since it's three times the first.

Step 3. Let 2x-12 be the third angle since it's 12 degrees less than twice the first.

Step 4. We note that the sum of the three angles of a triangle is equal to 180 degrees. Then, x+3x+2x-12=180 or 6x=180+12=192.

Step 5. Solving yields the following steps.

Divide by 6 to both sides of the equation

and

Check if angles equal to 180 degrees: which it does.

Step 6. ANSWER: The first angle is 32 degrees, the second angle is 96 degrees, and the third angle is 52 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.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

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