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Together, the 2 central angles trace out the entire circumference of the circle, which accounts for radians. In other words,
radians. By the Inscribed Angle Theorem, is half of , and is half of , so
radians. So angles and
are supplementary. The same argument can be applied to the other pair of opposite angles as well.
Unit 7
Lesson 11: Circles Outside of Quadrilaterals 117
