SOLUTION: In Triangle ABC, Angle B is 8 less then one-half of angle A and angle C is 28 larger than angle A. Find the measure of the three angles of the triangle.

Question 215330: In Triangle ABC, Angle B is 8 less then one-half of angle A and angle C is 28 larger than angle A. Find the measure of the three angles of the triangle.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
In Triangle ABC, Angle B is 8 less then one-half of angle A and angle C is 28 larger than angle A. Find the measure of the three angles of the triangle.

Step 1. The three angles of triangle add up to 180 degrees.

Step 2. Given angle , then let be angle B, and let be angle C

Step 3. Then, add up all the angle to get 180 degrees or . Multiply by 2 to both sides of equation to get rid of denominator.

With , then and

Then A+B+C=180 as a check. So 64+24+92=180 or 180=180 which is a true statement.

Step 4. The angles are A=64 degrees, B=24 degrees, and C=92 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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