The angles COM and MОК are adjacent. Find the MOK angle if the COM angle is 3.5 times the MOK angle.

univerkov | September 3, 2021 | education

Since the sum of adjacent angles is 180, the angle MOK + COM = 180.

Let the smaller angle COM is equal to X0, then the angle MOK = 3.5 * X0.

Then X + 3.5 * X = 180.

4.5 * X = 180.

X = COM = 180 / 4.5 = 40.

Then the angle MOC = 180 – 40 = 140.

Answer: The MOC angle is 140.

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