Finding Missing Angle Measurements in Circles using the Intersecting Chord Theorem

This lesson covers finding missing angle measurements within a circle using the intersecting chord theorem. It reviews the central and exterior angle theorems, explains the difference between arc measure and arc length, and applies the intersecting chord theorem to solve for angle relationships. An example problem is provided to demonstrate the application of these concepts.

What is the relationship between the inscribed angle and the intercepted arc according to the central angle theorem?

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Explain the difference between arc measure and arc length.

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How does the intersecting chord theorem relate angles and chords within circles?

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Using the central angle theorem, how can you express the measure of angle C in terms of arc BD?

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What is the measure of angle AEC if the measures of arc BD and arc AC are 100 degrees and 150 degrees respectively?

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