The diagonal of the parallelogram makes angles 29 and 58 with its two sides, find the larger angle of the parallelogram.
| January 1, 2021 | education
According to the condition of the problem, the diagonal of the parallelogram divides its angle into two angles by degree measures 29 ° and 58 °.
This means that this degree measure of this angle is the sum of the degree measures of the angles 29 ° and 58 °:
29 ° + 58 ° = 87 °.
The sum of two adjacent angles of a parallelogram is 180 °, we find the value of the angle of a parallelogram adjacent to an angle of 87 °:
180 ° – 87 ° = 93 °.
The other two angles of the parallelogram are opposite angles of 87 ° and 93 ° and are respectively 87 ° and 93 °.
Thus, the largest of the angles of this parallelogram is 93 °.
Answer: 93 °.
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