The angle between two heights of the parallelogram is three times less than one of the angles of the parallelogram.

The angle between two heights of the parallelogram is three times less than one of the angles of the parallelogram. Find the obtuse angle of the parallelogram.

Given:
The angle between two heights of the parallelogram is three times less than one of the angles of the parallelogram.
If we take the angle between the heights as x, then the obtuse angle is 3x.
360 = 90 + 90 + x + 3x
4x = 180
X = 180: 4
X = 45
Obtuse angle = 3 • 45 ° = 135 °.



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.