In parallelogram ABCD, angle A is half the angle B. Determine all the angles of the parallelogram.
| April 18, 2021 | education
In a parallelogram, opposite angles are equal to each other.
Let’s denote the acute angle of the parallelogram through X, then, then the obtuse angle will be equal to 2 * X.
The sum of the angles of the parallelogram is 360, then X + X + 2 * X + 2 * X = 36.
6 * X = 36.
X = 60.
2 * X = 60.
Answer: The angles of the parallelogram are 60 and 120.
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