Question

Is it possible for the two triangles described below to be similar? Two angles of one triangle measure 60° and 70°. Two angles of the other triangle measure 50° and 80°.

Answer 1

no

Explanation:

Similar triangles have angles with the same measures.

angles in the first triangle are 50°, 60°, 70°.

angles in the second triangle are 50°, 50°, 80°.

The angles do not have the same values, so the triangles cannot be similar.

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Comment on the question

When 2 of the three angles are different, the third angle cannot make the triangles similar. We don't even need to compute the third angle to answer this question.