# In the rectangle MPKH, the diagonals intersect at point O. The segment OA is the height of the triangle MOP

December 29, 2020 | education

| **In the rectangle MPKH, the diagonals intersect at point O. The segment OA is the height of the triangle MOP, angle A 15. What is the angle OHK?**

Since the diagonals of the rectangle are equal and at the point of their intersection they are divided in half, then OP = OM, then the triangle MPA is isosceles.

Then the height OA is also the bisector and median of the triangle. Angle MOA = AOP = 150, then angle MOP = 15 + 15 = 300. Angle KOH = MOP as vertical angles. The HOK triangle is also isosceles, then the OHK angle = (180 – HOK) / 2 = (180 – 30) / 2 = 750.

Answer: The HOK angle is 750.

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