In rectangle MNKD, diagonals MD and NK meet at point A, angle ANM = 50 degrees. Calculate the angle between the diagonals.

Since the LSM is a rectangle, then its diagonals MK and ND, at the intersection point A, are divided in half. Then AH = AM, and therefore the triangle AHM = AMH = 50.

Angle HAM = (180 – ANM – AMN) = (180 – 50 – 50) = 80.

The angles NAM and NAC are adjacent, the sum of which is 180, then the angle NAC = (180 – 80) = 100.

Answer: The angles between the diagonals are 80 and 100.