According to the question, line segment JK and LM represent two positions of the same board leaning against the side KN of a wall. So the hypotenuse of both the triangles is same.
Using 30:60:90 degree triangle and 45:45:90 degree triangle theorems, we can find out the answers using each statement alone.
Answer is D.
Please let me know if you want me to explain further.
!! I missed the "same board", read it too quickly.
I was starting to think I had missed a geometry law lecture back in high school.