Chapter 12.6, Problem 20E

To determine

To Show: The triangle is congruent according to the pattern AAS.

Answer to Problem 20E

The required property has been proved.

Explanation of Solution

Given information:

The figure is given by,

  

The properties are given as, $\angle NKM\cong \angle LMK$ , and $\angle L\cong \angle N$ .

It is given that $\angle NKM\cong \angle LMK$ and $\angle L\cong \angle N$ .

This implies that $\overline{KM}\cong \overline{KM}$ by reflexive property of congruence and a common line.

So, the triangle follows the AAS pattern. That means $\Delta NMK\cong \Delta LKM$ .

Therefore, the required property has been proved.