Question

The interior angles of △ABC measure 34°, 50°, and x°. The interior angles of △DEF measure y°, 50°, and 96°.

Which statement is true?

The triangles are not similar because y≠34 .
The triangles are not similar because x≠y .
The triangles are similar because they each have an interior angle that measures 50°.
The triangles are similar because y=34 and there are three pairs of congruent angles.

Answer 1

The answer is D

Explanation:

Answer 2

The triangles are similar because y=34 and there are three pairs of congruent angles.

Explanation:

For triangle ABC, let's start by finding the value of X...

The sum of the interior angles of a triangle sum up to 180 degrees, so...

X = 180 - 34 - 50 = 96 degrees

Angles for ABC are then: 34°, 50° and 96°.

For triangle DEF, let's find y° the same way:

Y = 180 - 50 - 96 = 34 degrees.

Angles for DEF are then: 34°, 50° and 96°

The angles are the same, in the same order... so both triangles are similar.