One of the angles of the parallelogram is 50 degrees less than the other. Find the angles of the parallelogram.

Parallelogram property: opposite angles are equal.
Because the sum of the angles of the parallelogram is 360, you can find each of the angles:
Let the smaller angle be x. Then:
2x + 2 * (x + 50) = 360
2x + 2x + 100 = 360
4x = 260 | :4
x = 65
The smaller angle is 65 and the second angle is 50 degrees larger. Find the second corner:
65 + 50 = 115 (degrees) is the second angle.
Answer: 65, 65, 50 and 50.



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