Answer:
The triangles are similar because y=34 and there are three pairs of congruent angles.
Step-by-step 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.
