How could I write an indirect proof that shows that the measure of each interior angle of a regular hexagon is not 150?

I know that the sum of the interior angles must be 180 because it uses the same angles as the exterior which is 360 but i don't know how to word it

Question

How could I write an indirect proof that shows that the measure of each interior angle of a regular hexagon is not 150?

I know that the sum of the interior angles must be 180 because it uses the same angles as the exterior which is 360 but i don't know how to word it

anonymous · Answer

The sum of interior angles of a polygon follows a different formula.  You actually look at the triangular region in a figure to get the total degree.  Look at the attached figure.|dw:1335159843050:dw|

anonymous · Answer

Since each triangle here has a sum of 180 degrees and we have 4 triangles, then we have a sum of 4*180 which is 720 degrees.  The formula for finding the interior angle sum is 180(n-2) where n is the number of sides.