Just a quick, pretty unoriginal sketch to help secondary/tertiary students think through the justification for the sum of the angles in a triangle.

As a dynamic webpage or the original geogebra file.

EDIT: As my students investigated (see these sketches elsewhere), they got interested in proofs of the Pythagorean Theorem. Since they were investigating so nicely on their own, with interesting results, I had time to draw up a familiar proof in Geogebra. Webpage or geogebra file. The webpage has some additional hints to help towards a proof.

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