Practice: Positions of Points, Straight Lines, and Circles with respect to Circles

In the given figure, 𝐴𝐵 is a tangent to a circle with center 𝑀 at 𝐵, 𝐶𝐷 is a diameter, 𝑚𝐵𝐴𝑀=𝑥, and 𝑚𝑀𝐷𝐵=2𝑥55. Find the value of 𝑥 in degrees.


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