Angle ABC = 118 Degrees angle ABM = 100 Degrees angle ABC = 60 degrees find the angle OBM.

According to the condition of the problem, the angle ABC is set, which is equal to 118 °, the angle ABM is equal to 100 °, as well as the OBC angle, equal to 60 °. In order to find the MBC, you need to find the difference in the angles ABC and ABM:

MBC = ABC – ABM;

MBC = 118 ° – 100 ° = 18 °.

In order to find the angle OBM, you need to find the sum of the angles MBC and OBM:

OBM = MBC + OBC;

OBM = 18 ° + 60 ° = 78 °.

Answer: OBM = 78 °.