Plot the angles MOC and KOC, if the angle MOC = 110 °, the angle KOC = 46 °.

Plot the angles MOC and KOC, if the angle MOC = 110 °, the angle KOC = 46 °. What can be the degree measure of the COM angle?

If the angle KOC is constructed as shown in Figure 1, then the value of the angle COM is found as the difference between the angles KOM and KOC:

<COM = <KOM – <COM = 110 ° – 46 ° = 64 °.

If the construction is performed in accordance with Figure 2, then the value of the COM angle will be equal to the sum of the angles KOM and KOC:

<COM = <KOM + <COM = 110 ° + 46 ° = 156 °.

Answer. The COM angle can be between 64 ° and 156 °.