The diagonal AC of the parallelogram ABCD makes angles of 30 degrees and 45 degrees
| March 5, 2021 | education
The diagonal AC of the parallelogram ABCD makes angles of 30 degrees and 45 degrees with its sides. Find the larger angle of the parallelogram.
First, let’s draw a parallelogram ABCD, in which we draw a diagonal AC.
Then the angle CAB is equal to 30 °, and the angle CD is equal to 45 °, therefore the entire angle A is equal to 30 + 45 = 75 ° – this is the smaller angle of the parallelogram.
Since the sum of the larger and smaller angles is 180 °, then the larger angle of the parallelogram is 180 – 75 = 105 °.
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