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Home > CCG > Chapter 11 > Lesson 11.1.1 > Problem 11-11

11-11.

For each of the relationships represented in the diagrams below, write and solve an equation for and/or . Justify your method. In part (a), assume that is the center of the circle.  

  1.  because  is a diameter

    The intercepted arc is twice the inscribed angle

    One equation could be: 

  1. Which angles are supplementary? This will help you write equations to solve for and .

  1. Use the Law of Sines.

    ,

  1. Use the Triangle Angle Sum Theorem.