Angles AOB and BOC are adjacent. The AOB angle is 74 degrees. Find the value of the angle MOC if OM is the bisector of the angle BOC.

Since these angles are adjacent, they form 180 degrees, then:
BOS = 180-AOB
BOS = 180-74
BOC = 106
Since the bisector OM divides the BOC angle in half, then
MOC = 0.5 BOC
MOS = 0.5 * 106
MOS = 53
Answer: angle MOC = 53 degrees



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