Question

The triangles below are similar.

Triangle G H F. Angle G is 65 degrees, H is 24 degrees, F is 91 degrees. Triangle J K L. Angle J is 24 degrees, K is 91 degrees, L is 65 degrees.

Which similarity statement expresses the relationship between the two triangles?
Triangle F G H is similar to Triangle K L J
Triangle F G H is congruent to Triangle K L J
Triangle F G H is similar to triangle J K L
Triangle F G H is similar to triangle J K L

Answer 1

Triangle F G H is similar to Triangle K L J.

Reason: corresponding angles match: F(91°) ↔ K(91°), G(65°) ↔ L(65°), H(24°) ↔ J(24°), so ΔFGH ~ ΔKLJ (AA similarity).