Obtuse parallelogram angle = 140 degrees. What is the angle between the heights of the parallelogram
| February 18, 2021 | education
Obtuse parallelogram angle = 140 degrees. What is the angle between the heights of the parallelogram drawn from the top of this angle?
The sum of the adjacent angles of a parallelogram is 180, and its opposite angles are equal to each other. Angle ВAD = ВСD = 180 – ABC = 180 – 140 = 40.
Triangles AВН and ВСK are rectangular, since ВН and ВK are the heights of the parallelepiped, then the angle AВН = СВK = 180 – 90 – 40 = 50.
The angle between the heights will be equal to: НВК = ABC – AВН – СВK = 140 – 50 – 50 = 40
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