The diagonal of the parallelogram divides its angles into 45 and 60 degrees, find the remaining angles.
| March 28, 2021 | education
Let’s calculate the value of the angle ABC of the parallelogram ABCD.
ABC = ABD + СВD = 60 + 45 = 105.
In a parallelogram, opposite angles are equal in magnitude.
Angle ABC = ADC = 105, angle BAD = BCD.
The angles of a parallelogram add up to 360.
ABC + BCD + CDA + DAB = 360.
105 + 105 * 2 * BAD = 360.
BAD = BCD = (360 – 210) / 2 = 75.
Answer: The angles of the parallelogram are 75, 105, 75, 105.
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