A triangle has 180 degrees and has 3 sides.
A square has 360 degrees and has 4 sides.
A triangle is 180 times 1, which is 3-2.
A square is 180 times 2, which is 4-2.
etc. etc.
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take away the interior angle adjacent to it from 360
50 internal angles though it will take some time to work out what they are.
It is 8 x180=1440 degrees. Take an n-gon and the measure of the interior angles is (n-2)x180 degrees.
The 3 sides are the same length and the 3 interior angles are the same.
There is no 'why' because this is not true. Just take a triangle for example. The sum of the exterior angles is 360, but that is not the only polygon. Now take a square. The sum of the exterior angles is 1080. So your statement is not true for a square, rectangle, parallelogram, lots of other polygons.