SOLUTION: in a triangle the measure of the first angle is three times the measure of the second angle. the measure of the third angle is 20 degrees less than the second angle. what is the

Algebra ->  Finance -> SOLUTION: in a triangle the measure of the first angle is three times the measure of the second angle. the measure of the third angle is 20 degrees less than the second angle. what is the       Log On


   

Question 863294:
in a triangle the measure of the first angle is three times the measure of the second angle. the measure of the third angle is 20 degrees less than the second angle. what is the measure of each angle
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
LET 3X BE THE FIRST ANGLE
LET X BE THE SECOND ANGLE.
LET X-20 BE THE THIRD ANGLE.
3X+X+(X-20)=180
5X=180+20
5X=200
X=200/5
X=40 DEGREES FOR THE SECOND ANGLE
3*40=120 DEGREES FOR THE FIRST ANGLE.
40-20=20 DEGREES FOR THE THIRD ANGLE.
PROOF:
120+40+20=180
180=180