Sum of two angles of a parallelogram is 70 degrees. Find all angles.
February 11, 2021 | education
| 1. A, B, C, D – the tops of the parallelogram. ∠А + ∠С = 70 °.
2. In a parallelogram, the angles opposite each other are equal. ∠А = ∠С = 70 °: 2 = 35 °.
3. According to one of the properties of the parallelogram, the total value of the angles located on
one side is 180 °. Using it, we calculate the degree measure ∠В:
∠В = 180 ° – ∠А = 180 ° – 35 ° = 145 °.
4. ∠D is also equal to 145 °, since it is opposite to ∠В.
Answer: ∠А = ∠С = 35 °, ∠В = ∠D = 145 °.
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