We have a total of three angle markings in the diagram. The square marking at ∠ LKM tells us this is a right angle. Additionally, we see two angles marked as congruent, ∠ J and ∠ M. Therefore, regarding angles, we can conclude two things.
&∠ LKM is a right angle
&∠ J ≅ ∠ M
Finally, we also see that the sides JK and KM have been marked as congruent sides.
JK ≅ KM