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Home > GC > Chapter 8 > Lesson 8.3.3 > Problem 8-106

8-106.

A spinner with two diameter lines intersecting each other. The internal angle the diagonal lines create is 20 degrees.Your teacher has constructed a spinner like the one at right.  He has informed you that the class gets one spin.  If the spinner lands on the shaded region, you will have a quiz tomorrow.  What is the probability that you will have a quiz tomorrow?  Explain how you know.  

The measure of all the angles that share a vertex at the center of a circle must add to .

Vertical angles - the angles formed on opposite sides of two intersecting lines - are congruent to one another.