Respuesta :
Given the figure in the attached image .
we want to confirm if there are enough information to prove that the triangles JKL and NML are congruent.
From the figure;
side JK is congruent to side NM
Angle J is also given to be congruent to Angle N
And the angle L for the two triangles are congruent ( vertically opposite angles)
[tex]\begin{gathered} JK\cong NM\ldots.\text{ given} \\ \angle J\cong\angle N\ldots\text{ given} \\ \angle L\cong\angle L\ldots..vertically\text{ opposite angles} \end{gathered}[/tex]So we have two congruent angles and one congruent sides;
Applying AAS Postulate (Angle-Angle-Side rule) which states that when two angles and one side of a triangle are congruent to two corresponding angles and one side of another triangle, then the two triangles are congruent.
Therefore, the triangles JKL and NML are congruent.
