Parallelogram ABCD to the BC side, the height DK is drawn. The CDK angle is 22 ° find the value of the BAD angle.

univerkov | March 9, 2021 | education

Since DK is the height, then the triangle CDK is rectangular, then the angle DCК = (180 – СKD – CDK) = (180 – 90 – 22) = 68.

In a parallelogram, opposite angles are equal, and the sum of adjacent angles is 180.

Then the angle ABC = ADC = (180 – 68) = 1120. Angle BAD = DCB = 68.

Answer: Angle BAD = 68.

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