SOLUTION: prove that an exterior angle of a triangle is equal to the sum of the remote interior angles... how do i do this?

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Question 617651: prove that an exterior angle of a triangle is equal to the sum of the remote interior angles... how do i do this?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If , , and are the three interior angles of any triangle, and is the exterior angle at the vertex , then you know two things. First the sum of the three interior angles is 180 degrees and and are supplementary (by definition of exterior angle of a polygon). So . So:



So



John

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