The sum of the vertical angles AOB and MOC, formed at the intersection of lines AC and BM

The sum of the vertical angles AOB and MOC, formed at the intersection of lines AC and BM, is 132 degrees. Find the AOM corner.

1. Considering that the vertical angles are equal (according to their properties), and their sum is 132 ° according to the problem statement, we calculate their value:

∠АОМ = BOС = 132 °: 2 = 116 °.

2. Taking into account that AOB and AOM are adjacent angles, and their total value is 180 °, we calculate the degree measure ∠AOM:

∠АОМ = 180 ° – ∠АВ = 180 ° – 116 ° = 64 °.

Answer: AOM is equal to 64 °.