SOLUTION: the exterior angle of a triangle are 5x,3x and 4x. Find the size of the smallest interior angle

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Question 479591: the exterior angle of a triangle are 5x,3x and 4x.
Find the size of the smallest interior angle
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
As we know the sum of exterior angels of a polygon is 360 degree.
Write the equation 5x+4x+3x=360, solving this equation we get x=30. The supplement of the biggest exterior angle is the smallest interior angle of the triangle. In our case the biggest exterior angle is 5*30=150 degree and the smallest interior angle will be: 180-150=30 degree.