SOLUTION: how do you solve if the second angle in a triangle is one third as large as the first angle and the third angle is two thirds as large as the first angle?

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Question 298888: how do you solve if the second angle in a triangle is one third as large as the first angle and the third angle is two thirds as large as the first angle?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
how do you solve if the second angle in a triangle is one third as large as
the first angle and the third angle is two thirds as large as the first angle?
:
Let x = the 1st angle
then
1%2F3x = 2nd angle
and
2%2F3x = 3rd angle
:
the three angles of any triangle = 180 degree
therefore
x + 1%2F3x + 2%2F3x = 180
combine like terms
2x = 180
x = 90 degrees, is the 1st angle
then
1%2F3*90 = 30 degrees is the 2nd angle
and, obviously:
2%2F3*90 = 60 degrees is the 3rd angle