Lines AB and CD meet at point O. Knowing that DOB = 130, find the angles AOC, COB, AOD.

univerkov | May 8, 2021 | education

When the straight lines intersect, it turns out that AOC and COB are adjacent, and the angles AOD and COB are vertical.

Find AOD: AOD = 180 – DOB = 180 – 130 = 50o.

Then by the property of vertical angles: COB = AOD = 50o.

By the property of vertical angles: AOC = DOB = 130 °.

Answer: AOC = 130o, COB = 50o, AOD = 50o.

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