SOLUTION: Angle A, B,and C are the angles of triangle. Angle B is three degrees more than twice Angle A. Angle C is 15 degrees less than three times Angle A. Find the measure of each angle.

Algebra ->  Angles -> SOLUTION: Angle A, B,and C are the angles of triangle. Angle B is three degrees more than twice Angle A. Angle C is 15 degrees less than three times Angle A. Find the measure of each angle.       Log On


   

Question 271606: Angle A, B,and C are the angles of triangle. Angle B is three degrees more than twice Angle A. Angle C is 15 degrees less than three times Angle A. Find the measure of each angle.
Please help me solve this so that I may do solve it on my own.
Thank you.
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's have x represent angle A. Angle B will be 2x+3. And angle C will be 3x-15.
We know there are 180 degrees in every triangle so we can set up the following equation:
x+(2x+3)+(3x-15)=180 Combine like terms to get:
6x-12=180 Add 12 to both sides and divide by 6 to get:
x=32
There we go the angle for A is 32 degrees.From the info above I'll let you figure out the other two angles.
RJ
There's a book I wrote that might help:
www.math-unlock.com