The diagonal AC is drawn in parallelogram ABCD. The DAC is 47 degrees and the CAB
| March 1, 2021 | education
The diagonal AC is drawn in parallelogram ABCD. The DAC is 47 degrees and the CAB is 11 degrees. Find the larger angle of the parallelogram ABCD.
Let’s determine the value of the angle BAC.
Angle BAC = CAB + DAC = 11 + 47 = 58.
In a parallelogram, the sum of its adjacent angles is 180, then:
Angle ABC + BAD = 180.
Angle ABC = 180 – BAD = 180 – 58 = 122.
Answer: The larger angle of the parallelogram is 122.
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