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△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 50°.

Using the given information, which statement is true?

The two triangles are not similar because x≠y .

The triangles are similar because they each have an interior angle with a measure 70°.

The two triangles are not similar because the interior angles are congruent but the side lengths are different.

The two triangles are not similar because y = 60 so it is impossible to have three congruent angles.

Answer :

So first of all you can find x and y because all triangles have interior angles that add up to 180 degrees.

X= 10 degrees
Y= 60 degrees

Looking at the options, we see that the first statement is true. And if the angles are not equal, the triangles are not able to be similar.

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