The sum of the two angles of the parallelogram is 840. Find the angles of the parallelogram.

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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