The diagonals of the rectangle MNKP intersect at point O, the angle MON is 64 degrees. Find the OMP corner.
| September 12, 2021 | education
The angle MOР is adjacent to the angle MOR, then the angle MOR = (180 – MOR) = (180 – 64) = 116.
The triangle OP is equilateral, since OM = OP as halves of equal diagonals, then the angle ОМР = OPM = (180 – 116) / 2 = 32.
Answer: The OMP angle is 32.
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