The diagonals of the rectangle MNKP intersect at point O, the angle MON is equal to 64 degrees, find the angle OMP.

When the diagonals of the rectangle intersect, two adjacent corners are formed. Angle MON and angle MOP. The sum of adjacent angles is 180 degrees. The MOP triangle, formed at the intersection of the diagonals of the rectangle, is isosceles, since the diagonals of the rectangle are equal and at the point of intersection, they are halved. The angles of a triangle add up to 180 degrees.

1) Determine the degree measure of the angle MOP.

180 – 64 = 116 degrees.

2) Determine what the degree measure of the OMP angle is equal to.

(180 – 116) / 2 = 64/2 = 32 degrees.

Answer: The OMP angle is 32 degrees.