Question

prove that if 2 triangle are equiangular then they are similar
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Answer 1

Answer:

we know that two pairs of angles are equal, then the remaining angle in each triangle must also be equal. Therefore the two triangles are similar. In other words, to prove that two triangles are equiangular, we need only show that two pairs of angles are equal.

Answer 2

Answer:

Proving equiangular triangles are similar:

If we know that two pairs of angles are equal, then the remaining angle in each triangle must also be equal. Therefore the two triangles are similar. In other words, to prove that two triangles are equiangular, we need only show that two pairs of angles are equal.