Segments AC and KM have a common point O and AO = OM, KO = OC, AK = 33cm. Find MC.

In triangles AOK and COM, the angle AOK is equal to the angle COM as the vertical angles at the intersection of straight lines AC and KM.

By condition, AO = OM, KO = OC, then the triangles AOK and COM are equal in two sides and the angle between them, the first sign of equality of triangles.

Then MC = AK = 33 cm.

Answer: The length of the MC segment is 33 cm.

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