Cyclic Quadrilaterals and Parallel Lines in Circles - Concept

Concept Concept (1)

A cyclic quadrilateral has vertices on the same circle and is inscribed in the circle. The opposite angles have the same endpoints (the other vertices) and together their intercepted arcs include the entire circle. Since the measure of an inscribed angle is half the intercepted arc, the sum of the opposite angles must be 180 degrees.

Sample Sample Problems (2)

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Cyclic Quadrilaterals and Parallel Lines in Circles - Problem 1
Problem 1
How to calculate angles in a cyclic quadrilateral given arc measures and two angle measures.
Cyclic Quadrilaterals and Parallel Lines in Circles - Problem 2
Problem 2
How to calculate the measure of an arc created by a cyclic parallelogram.