ΔJKL ≅ ΔXYZ

Question

Triangles J K L and X Y Z are shown. Angle J measures sixty degrees, angle K measures 45 degrees, and angle L measures 75 degrees. Triangle X Y Z has the same size and shape.

For each of the following angles, name the angle that is congruent.

∠J ≅ __
∠K ≅ __
A. ∠X; ∠Y
B. ∠L; ∠J
C. ∠X; ∠Z
D. ∠Y; ∠Z

Answer 1

∠J ≅ ∠X, as they are corresponding angles in congruent triangles.

∠K ≅ ∠Y, as they are corresponding angles in congruent triangles.

Therefore, the answer is A, ∠X; ∠Y.