Question

Диагонали прямоугольника MNKP пересекаются в точке O, угол MON=64° найти угол OMP

Answer 1

Рассмотрим треугольник MON- равнобедренный, т.к. диагонали прямоугольника равны и точкой пересечения делятся пополам
Угол NMO= углу MNO= (180-64) :2=58
Угол OMP= 90-58= 32
Ответ: 32

Answer 2

Given Information:

We are given that the diagonals of rectangle MNKP intersect at point O, and that angle MON is 64°. We need to find the measure of angle OMP.

Solution:

To find the measure of angle OMP, we can use the fact that opposite angles in a rectangle are congruent. Since MNKP is a rectangle, angles MON and OMP are congruent.

Therefore, the measure of angle OMP is also 64°.

Conclusion:

The measure of angle OMP is 64°.