The diagonal of the parallelogram with its two sides forms angles of 30 ° and 40 °.

univerkov | June 26, 2021 | education

The diagonal of the parallelogram with its two sides forms angles of 30 ° and 40 °. Calculate the angles of the parallelogram.

Determine the value of the angle BAD.

Angle BAD = BAC + DAC = 40 + 30 = 70.

By the property of a parallelogram, the sum of its adjacent angles is 180.

Then the angle ABC = (180 – BAC) = (180 – 70) = 110.

In a parallelogram, the opposite angles are equal, then the angle BCD = BAD = 70, the angle ADC = ABC = 110.

Answer: The angles of the parallelogram are 70, 110, 70, 110.

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