The obtuse angle of a parallelogram is 2 times the acute angle. Find the angles of the parallelogram.

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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