Angle AOB = 130 degrees, find the sum of the angles adjacent to the angle AOB.

univerkov | March 19, 2021 | education

1. AOC and ∠BOD are adjacent to a given ∠AOB equal to 130 °.

2. The total value of two adjacent angles, according to their properties, is 180 °:

∠AOB + ∠BOD = 180 °.

∠АВ + АОС = 180 °.

3.∠BOD = 180 ° – ∠AOB = 180 ° – 130 ° = 50 °.

4. ∠AOC = 180 ° – AOB = 180 ° – 130 ° = 50 °.

5.∠BOD + ∠AOC = 50 ° + 50 ° = 100 °.

Answer: the sum of AOC and ∠BOD adjacent to AOB is 100 °.

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