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10-108.

   Solve for the variables in each of the diagrams below. Assume point is the center of the circle in part (b).  Homework Help ✎

  1. diagram

    diagram

  1. diagram

    By , the two triangles are congruent. Therefore, the angles of the two triangles are also congruent, which means the values of the angles are equal to ,  (half the value of the original ), and (half the original value of ).

    By the Law of Sines:

  1. diagram

    The two triangles are similar, which means: