Let's first add the given information, FG≅ LM and ∠G≅ ∠M, to the diagram.
We are supposed to use the ASA Congruence Theorem. To do so, we need two angles and the included side of one triangle to be congruent to two angles and the included side of the other triangle. Therefore, to apply this theorem, we need ∠F and ∠L to be congruent.
Now we can copy and complete the statement.
&Given FG≅ LM, ∠G ≅ ∠M, ∠F≅ ∠L
&Use the ASA Congruence Theorem.
