SOLUTION: Express the following statements in terms of algebraic symbols. Q:The three angles A,B,C of a triangle ABC if angle A exceeds twice angle B by 20. please and thank you

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Express the following statements in terms of algebraic symbols. Q:The three angles A,B,C of a triangle ABC if angle A exceeds twice angle B by 20. please and thank you      Log On


   

Question 147925: Express the following statements in terms of algebraic symbols.
Q:The three angles A,B,C of a triangle ABC if angle A exceeds twice angle B by 20.

please and thank you
Found 2 solutions by vleith, mangopeeler07:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
We know the sum of the angels in a triangle is 180.
Given: A = 2B + 20
Then C = 180 - A - B
C = 180 - (2B+20) - B
C = 180 - 2B - 20 - B
C = 160 - 3B
So, the angles are:
A = 2B+20
B = B
C = 160 - 3B
Make sense?

Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
The three angles A,B,C of a triangle ABC
A%2BB%2BC=180
A exceeds twice angle B by 20
A=2B%2B20
angle B
B=B
angle C
C=180-%28A%2BB%29
or
C=180-%282B%2B20%2BB%29
Distribute -1
C=180-2B-20-B
Simplify
C=160-3B
Therefore,
A=2B%2B20
B=B
C=160-3B