The diagonal BD of parallelogram ABCD makes angles of 65 ° and 50 ° with its sides.
| August 22, 2021 | education
The diagonal BD of parallelogram ABCD makes angles of 65 ° and 50 ° with its sides. Find the smaller angle of the parallelogram.
One of the angles of a parallelogram is equal to the sum of the angles that form its diagonal with two adjacent sides: 65 ° + 50 ° = 115 °.
It is known that the sum of adjacent angles of a parallelogram is 180 °, so the unknown angle of this parallelogram is 180 ° – 115 ° = 65 °.
This means that the smaller angle is 65 °.
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