# Acute and obtuse angles of a parallelogram are 2: 7. find the smaller angle of the parallelogram.

January 31, 2021 | education

| Let the magnitude of the acute angle of the parallelogram be 2 * X, then, by condition, the magnitude of the obtuse angle of the parallelogram is 7 * X.

The sum of the adjacent angles of a parallelogram is 180, then:

2 * X + 7 * X = 180.

9 * X = 180.

X = 180/9 = 20.

Then the angle ВAD = 2 * 20 = 40.

Answer: The acute angle of the parallelogram is 40.

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