# In the rectangle MPKH, the diagonals intersect at point O. The segment OA

In the rectangle MPKH, the diagonals intersect at point O. The segment OA is the height of the triangle MOP, ∠AOP = 15 °. Find OHK.

The triangle MPA is isosceles, since OP = OM as half the lengths of the diagonals of the MPKN rectangle, which are equal and are halved at point O. Then the height OA is also the bisector of the angle POM, which means that the angle POM = 2 * AOP = 2 * 15 = 30.

Angle KOH = POM as vertical angles at the intersection of the diagonals PH and MK, angle KOH = 30.

The KРН triangle is isosceles, then the angle OKH = OHK = (180 – KOH) / 2 = (180 – 30) / 2 = 75.

Answer: The value of the ONC angle is 75. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.