Calculate the angles of a parallelogram if its angles adjacent to one side are 2: 7.

univerkov | March 13, 2021 | education

Let the value of the angle BAD be equal to 2 * X0, then, by condition, the value of the angle ABC = 7 * X0.

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

2 * X + 7 * X = 180.

9 * X = 180.

X = 180/9 = 20.

Then the angle BAD = 2 * 20 = 400, ABC = 7 * 20 = 140.

Since the parallelogram has opposite angles, the angle BCD = BAD = 40, the angle ADC = ABC = 140.

Answer: The angles of the parallelogram are 40, 140, 40, 140.

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