Question

in the figure shown, △fgh ~△jkl. select all pairs of congruent angles. a) ∠f≅∠j b) ∠f≅∠k c) ∠g≅∠k d) ∠h≅∠l e) ∠g≅∠j

Explanation:

Step1: Recall similar - triangle property

For similar triangles $\triangle FGH\sim\triangle JKL$, corresponding angles are congruent.
The order of the vertices in the similarity statement gives the corresponding - angle pairs. $\angle F$ corresponds to $\angle J$, $\angle G$ corresponds to $\angle K$, and $\angle H$ corresponds to $\angle L$.

Answer:

A. $\angle F\cong\angle J$
C. $\angle G\cong\angle K$
D. $\angle H\cong\angle L$