SOLUTION: The first angle of a triangle is 20 degrees less than the second angle. The third angle of a triangle is two times the second angle. Use x to represent the unknown value.

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Question 169628: The first angle of a triangle is 20 degrees less than the second angle. The third angle of a triangle is two times the second angle. Use x to represent the unknown value.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets each angle x,y,and z. 1st,2nd,and 3rd angles respectively
:
x+y+z=180...eq 1
x=y-20......eq 2
z=2y........eq 3
:
take the value of x in eq 2 and the value of z in eq 3 and plug them into eq 1
:
(y-20)+y+(2y)=180
:
4y=200
:
highlight%28y=50%29degrees...2nd angle
using eq 2x=50-20=30%29degrees..1st angle
using eq 3z=2%2850%29=100%29degrees...3rd angle