SOLUTION: three angels of a triangle are in arithmetic progression with a common difference of 20 degrees.what is the smallest angle in the triangle?

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Question 1085548: three angels of a triangle are in arithmetic progression with a common difference of 20 degrees.what is the smallest angle in the triangle?
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
x + (x + 20) + (x + 40) = 180 degrees

is your equation.


3x + 60 = 180  --->  3x = 180 - 60 = 120  --->  x = 40.


Answer.  the smallest angle in the triangle is of 40 degrees.