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Angle Inside the Circle

Angles Formed by Intersecting Chords

Chords are segments that have both endpoints on a circle. Activity Directions: Move points D, C, B, and E to discover the relationship between the measure of the angles formed by intersecting chords and the measures of their intercepted arcs.

What is the relationship between CFD and BFE? What does that mean for the measure of the angles?

Summarize

Do you think you need to use both intercepted arc created by the pair of angles? Why?

What happens if you add the arcs together? Do you see a relationship with the angles?