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    In the diagram below, is a diameter of . Each part is a new problem. Show all work.

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.

  1. If , what is ?

    What is the relationship between the length of and the length of ?

    Remember that a straight line has a total .

  2. If , what is ?

    See hints for part (a).

  3. If , what is ?

    Notice the relationship between the given angles and their respective answers