The diagonals of the KMNP rhombus meet at point O. Find the angle of the triangle KOM if the angle MNP is 80 °

Let’s take into account the following properties of the rhombus:
opposite angles are equal;
the diagonals are mutually perpendicular and are the bisectors of the corners of the rhombus.
Based on this, the MKR angle = 80 “, the MKO angle = 40”. In the MCO triangle, the angle is O = 90 “, which means the angle KMO = 90” – 40 “= 50”.