Question

are these triangles similar? no yes

Explanation:

Step1: Check angle - similarity condition

Two pairs of corresponding angles are marked as equal (the red - arc marked angles in $\triangle EFG$ and $\triangle KIJ$).

Step2: Apply AA (Angle - Angle) similarity criterion

If two pairs of corresponding angles of two triangles are equal, the triangles are similar. Since we have two pairs of equal angles in $\triangle EFG$ and $\triangle KIJ$, by AA similarity, the triangles are similar.

Answer:

Yes