The sum of the two angles of the parallelogram is 60. Find one of the remaining angles.
| September 6, 2021 | education
1. A, B, C, D – the tops of the parallelogram. ∠А + ∠С = 60 °.
2. In a parallelogram, the angles opposite each other are equal. ∠А = ∠С = 60 °: 2 = 30 °.
3. According to one of the properties of a parallelogram, the total value of the angles on one side is 180 °.
Using it, we calculate the degree measure ∠В:
∠В = 180 ° – ∠А = 180 ° – 30 ° = 150 °.
Answer: one of the remaining angles ∠B is equal to 150 °.
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