Kvant Math Problem 1121

The statement of the problem is incomplete:

Verified: no
Verdicts: SKIP + SKIP
Solve time: 5m37s
Source on kvant.digital

Problem

Given a triangle $ABC$. Two lines, symmetric to the line $AC$ with respect to the lines $AB$ and $BC$ respectively, intersect at the point $K$. Prove th_

The statement of the problem is incomplete:

“Given a triangle $ABC$. Two lines, symmetric to the line $AC$ with respect to the lines $AB$ and $BC$ respectively, intersect at the point $K$. Prove th_”

The part after “Prove th_” is missing, so the claim to be proved is not available. Different Kvant problems can begin with exactly the same construction and lead to different conclusions.

Please provide the full problem statement (or a photo of it), and I will write the solution in the six requested sections.