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The Side Angle Side postulate can be used to determine the congruency of two triangles. It states that if two sides and the angle in between of one triangle are congruent to two sides and the angle in between of another triangle, then the two triangles are congruent.

In this case, the angle between sides KL and side JL is angle L and the angle between sides NR and MR is angle R. Therefore for the two triangles to be congruent, angle L must be congruent to angle R.

The answer to this is: The additional information needed is ∠L ≅ ∠R.

ProfChris1

The additional information that is needed to show that ΔJKL ≅ ΔMNR by SAS is:

  • ∠L ≅ ∠R.

Let's understand what Side-Angle-Side (SAS) is all about and further understand how it relates to the given solution.

Side-Angle-Side(SAS)

The Side-Angle-Side theorem actually states that two triangles are congruent if two sides and the included angle of one of the triangles is equal to the two sides and included angle of the other triangle.

From the given question, we can say that the angle that is between KL and JL in ΔJKL is actually ∠L. Also, in our second triangle, ΔMNR, the angle between NR and MR is ∠R.

In order for the two triangles to be congruent, then ∠L must be congruent to ∠R.

Learn more about congruency on https://brainly.com/question/2938476

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