The obtuse angle of a parallelogram is 2 times the acute angle. Find the angles of the parallelogram.
August 12, 2021 | education
| A parallelogram is a quadrilateral whose opposite sides are parallel in pairs. His parallel sides are equal to each other.
The sum of the obtuse and acute angles of a parallelogram is 180 degrees.
Let the acute angle of the parallelogram be x and the obtuse angle 2x.
2x + x = 180
3x = 180
x = 180: 3
x = 60
The acute angle of a parallelogram is 60 degrees.
Obtuse angle – 2 * 90 = 120 degrees.
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