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Notice that AM = MC = MB (right angle triangle inscibed in a circumcirle property)
once that is established, use sine rule a/sin A = b/sin B to get the desired angle.
Find Angle MBC
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Notice that AM = MC = MB (right angle triangle inscibed in a circumcirle property) once that is established, use sine rule a/sin A = b/sin B to get the desired angle.