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) (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

My calculator said it, I believe it, that settles it
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