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An equiangular triangle has 3 equal angles inside it. Since the angles of every triangle add up to

180 degrees, each angles of an equiangular triangle is 60 degrees.

An equilateral triangle has all of its 3 sides the same length.

Here's an extra mind-boggling factoid:

Every equiangular triangle is equilateral, and every equilateral triangle is equiangular.

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