In the rectangle MPHK, the diagonals intersect at point O. The segment OA is the height of the triangle MPA.

In the rectangle MPHK, the diagonals intersect at point O. The segment OA is the height of the triangle MPA. AOP angle = 15 degrees. find the corner of the PMC.

In a rectangle, the diagonals are equal and the intersection point is halved.
The MOP is an isosceles triangle (OP = OM). The height OA, drawn from the apex of an isosceles triangle, is both a median and a bisector.
POM angle = 2 * 15 = 30 °.
Consider a triangle HOK – isosceles (OH = OK).
HOK angle = POM angle = 30 ° (vertical angles).
The angles at the base of an isosceles triangle are equal, therefore, we find:
angle OHK = (180 – 30) / 2 = 75 °.
Answer: OHK angle 75 °.