ABCD parallelogram, the difference between the two angles is 40 °. Find all corners.

univerkov | April 19, 2021 | education

Since the parallelogram has a sum of adjacent angles equal to 180, the angle BAD + ABC = 180. (1).

By condition, the angle ABC – BAD = 40.

Then the angle ABC = 40 + BAC.

Substitute this value into equation (1).

BAD + 40 + BAD = 180.

2 * BAD = 180 – 40 = 140.

Angle BAD = 140/2 = 70.

Then the angle ABC = 70 + 40 = 110.

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

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