Answer:
The four angles created by the intersecting diagonals are all 90 degrees each.
<LKO, <NKO, <NMO, <LMO = x degrees
the other four angles created by the other diagonals are each 90-x degrees each.
<LKN,<LMN = 2x degrees each
<KLM,<KMN = 180-2x degrees each