# The sum of the two angles of the parallelogram is 132 °. Find the degree measure of the obtuse angle of the parallelogram.

July 24, 2021 | education

| 1. A, B, C, D – the tops of the parallelogram. ∠А + ∠С = 132 °.

2. In a parallelogram, the angles opposite each other are equal. ∠А = ∠С = 132 °: 2 = 66 °.

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 ° – 66 ° = 114 °. ∠В – stupid. since its value is greater than 90 °, but less than 180 °.

4. ∠Д is also equal to 114 °, since it is opposite to ∠В.

Answer: obtuse angles ∠В = ∠Д = 114 °.

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