Question 26
Given triangle $ABC$ with $\angle ACB = 120^\circ$. Point $L$ is marked on the side $AB$ so that $CL$ is the bisector of $\angle ACB$. Points $N$ and $K$ are marked on the sides $AC$ and $BC$, respectively, so that $CN + CK = CL$.
Prove that the triangle $KLN$ is equilateral.
Prove that the triangle $KLN$ is equilateral.