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is a regular pentagon inscribed in , meaning that each of its five vertices lie on the circle.

  1. Draw a diagram of and on your paper.

    Circle, with center labeled, O, & 5 equally spaced points, labeled in order clockwise, A, B, C, D, & E, with segments connecting, A, to, B, B, to, C, C, to, D, D, to, E, &, E, to, A.

  2. What is ? How did you determine your answer?

    Recall that the sum of the interior angles of a regular pentagon is .

  3. What is ? What relationship did you use?

    Notice that is one-fifth of the circle.

  4. What is m? Show more than one way to calculate this measure.

    What is the relationship between and the arc in question?