Question

The interior angles of triangle ABC measure 34°, 63°, and xº. The Interior angles of

triangle DEF measure yº, 63°, and 83º.
Which statement is true?
The triangles are similar because y=34 and there are three pairs of congruent
angles.
The triangles are similar because they each have an interior angles that
measures 63º.
The triangles are not similar because x does not equal y.
The triangles are not similar because y does not equal 34º.

Answer 1

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

Explanation:

this is correct because all of the angles in a triangle add up to 180, so if y = 34 then 34 + 63 + 83 = 180

this also means x is equal to 83 which means both triangles share all of the same angle measures