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Inscribed Quadrilaterals

Author:
Katie Drach
Topic:
Quadrilaterals

Inscribed Quadrilaterals

and are opposite angles of quadrilateral BDCG. Notice that these two angles are supplementary. Move vertices B, D, C, and G to see that this relationship is always true of opposite angles. Using what you know about inscribed angles and circles, why do you think that opposite angles of a quadrilateral must always be supplementary?

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