SOLUTION: triangle ABC has an exterior angle at C. if the measure of the exterior angle is represented by 4x-10, angle B is represented by x, and angle A is 2x+20 what is the measure of the

Algebra ->  Triangles -> SOLUTION: triangle ABC has an exterior angle at C. if the measure of the exterior angle is represented by 4x-10, angle B is represented by x, and angle A is 2x+20 what is the measure of the       Log On


   

Question 723486: triangle ABC has an exterior angle at C. if the measure of the exterior angle is represented by 4x-10, angle B is represented by x, and angle A is 2x+20 what is the measure of the exterior angle
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

an exterior angle is equal to sum of two remote interior angles; so, you will have

C=A%2BB
4x-10=%282x%2B20%29%2Bx......solve for x
4x-10=3x%2B20
4x-3x=10%2B20
x=30.......the measure of the angle B
C=4x-10
C=4%2A30-10
C=120-10
C=110.......the measure of the exterior angle
A=2x%2B20
A=2%2A30%2B20
A=60%2B20
A=80.......the measure of the angle A