Find the obtuse angle of a parallelogram if its acute angle is 40 degrees.

univerkov | January 31, 2021 | education

According to the properties of a parallelogram, the sum of all its angles is 360 °, and its opposite angles are equal in pairs.

Therefore, in this parallelogram, two angles are equal to 40 °. Their sum is 40 ° + 40 ° = 80 °.

So the sum of the other two angles is 360 ° – 80 ° = 280 °. Therefore, each of them is equal to 280 ° / 2 = 140 °.

This means that the obtuse angle of this parallelogram is 140 °.

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