In a parallelogram, the sum of the two angles is 136 0. Find all the angles of the parallelogram.
| September 27, 2021 | education
The sum of all 4 angles of a parallelogram is 360 °.
The sum of 2 angles of a parallelogram adjacent to one side is 180 °. Therefore, two angles, the sum of which is 136 °, can only be opposite.
The opposite angles of the parallelogram are equal. Let’s find the value of the angles of the parallelogram, the sum of which is given in the problem:
1) 136 °: 2 = 68 °
The other two corners of the parallelogram are opposite and equal. Let’s find these values of these angles:
2) 180 ° – 68 ° = 112 °
Answer: two angles of 68 ° and two angles of 112 °.
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