SOLUTION: In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the thurd angle is 20 degrees less than the second angle. What is the measure

Algebra ->  Triangles -> SOLUTION: In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the thurd angle is 20 degrees less than the second angle. What is the measure      Log On


   

Question 4474: In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the thurd angle is 20 degrees less than the second angle. What is the measure of each angle?
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
Let the first angle = x
let the second angle =2x
let the third angle = 2x-20
the total measure of the angles of a triangle is 180 degrees:
180=x+2x+(2x-20)
180=5x-20
200=5x
x=40
so the first angle measures 40 degrees
the second is twice that, or 80 degrees
and the third is the second angle minus 20, or 60 degrees.