Find all the angles of the parallelogram if the sum of two of them is 100 degrees.
| May 27, 2021 | education
The sum of the angles equal to 100 ° can only be the sum of opposite angles, because the sum of the angles adjacent to one side is always 180 °. Opposite angles are equal, so each of the 2 opposite angles is 50 °. The remaining two angles are 360 ° – 100 ° = 260 °. Each of these angles is 260/2 = 130 °.
Answer. Parallelogram angles: 50 °, 130 °, 50 °, 130 °.
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