The sum of the two angles of the parallelogram is 840. Find the angles of the parallelogram.
December 13, 2020 | education
| Let’s denote the parallelogram by ABCD.
In it, the sum of the opposite angles BAC and BCD is 84 ° by condition.
And in a parallelogram, the opposite angles are equal, which means:
Angle BAC = BCD = 84 ° / 2 = 42 °.
Also in a parallelogram, the sum of the angles adjacent to one side is 180 °.
Angle ABC = 180-42 = 138 °
Angle CDA = ABC = 138 ° because opposing.
Answer: 42 °, 138 °, 42 °, 138 °.
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