The diagonal of the parallelogram forms angles of 52 and 10 degrees with its two sides. Find the larger angle of the parallelogram.
| April 5, 2021 | education
Determine the value of the angle BAD.
Angle BAD = BAC + CAD = 52 + 10 = 62.
In a parallelogram, opposite angles are equal in magnitude. Angle BAD = BCD = 62.
Angle ABC = ADC.
The angles of a parallelogram add up to 360.
ABC + BCD + CDA + BAD = 360.
2 * ABC = 2 * 62 = 36.
ABC = (360 – 124) / 2 = 118.
Answer: The angles of the parallelogram are: 62, 118, 62, 118
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