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In the diagram below, is a diameter of .  

Circle with points, A, C, and D, on the circle, and B, in the center. Line segments connect B to all 3 points on the circle. Single tick marks, on segments, A B, B D, and B C.

  1. If , what is ?

    is the inscribed angle and is the central angle intercepting the same arc.
    How are these angles related?

  2. If , what is ?

  3. If , what is ?

    Use the same method you used to solve part (a).