Proof without words for the sum of the interior angles a polygon

Published: 05 November 2023
on channel: morejpeg
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Follow up to this video    • Proof without words that the angles o...   showing why the angles of a triangle sum to 180 degrees.

The interior angles of a polygon sum to (n-2) * 180 degrees.

So odd sided polygons have interior angle sums which are multiples of 180, causing it to flip after one trip around, and even sided polygons have interior angle sums that are multiples of 360 which means it will be right side up after a trip around.

Visual Proofs aren't strictly proofs as far as I understand, more-so demonstrations. Read more about that here: https://en.wikipedia.org/wiki/Proof_w...


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