Question

foundations of euclidean geometry. which statement must be true about the diagram? m∠jkn = 1/2m∠nkl. jk = 1/2kl. ray km is an angle bisector of ∠nkl. point k is a mid - point of jl.

Explanation:

Step1: Recall angle - bisector definition

An angle - bisector divides an angle into two equal angles. Since $\angle NKM=\angle MKL = 61^{\circ}$, ray $KM$ divides $\angle NKL$ into two equal parts.

Answer:

Ray KM is an angle bisector of $\angle NKL$