SOLUTION: In a triangular cross section of a roof, the seconf angle is twice as large as the first. The third angle is 20 greater than the first angle. how large are the angles? first angle

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: In a triangular cross section of a roof, the seconf angle is twice as large as the first. The third angle is 20 greater than the first angle. how large are the angles? first angle      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 365988: In a triangular cross section of a roof, the seconf angle is twice as large as the first. The third angle is 20 greater than the first angle. how large are the angles?
first angle = x
second angle = 2x
third angle = x+20

Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
In a triangular cross section of a roof, the seconf angle is twice as large as the first. The third angle is 20 greater than the first angle. how large are the angles?
first angle = x
second angle = 2x
third angle = x+20
Since the sum of 3 angles in a triangle is 180, the equation is
x+2x+(x+20) = 180
4x = 180 -20
x = 40
2x = 2(40) = 80

x+20 = 40+20 = 60
The angles are 40, 80, & 60.
The sum is 180.