Problem

A student cut a triangular shape out of blue construction paper and labeled the angles ∠1,...

A student cut a triangular shape out of blue construction paper and labeled the angles ∠1, ∠2, and ∠3, as shown in figure (a) below. Then she tore off each of the three corners and arranged them as shown in figure (b). Explain what important geometric concept this model illustrates.

(a)

(b)

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