A polygon is broken up into 5 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?

Drawing diagonals from one vertex divides an n-sided polygon into n − 2 triangles. If there are 5 triangles, then n − 2 = 5, so n = 7. A 7-sided polygon is a heptagon.

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