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Angles Formed by 2 Chords

How do we determine the measure of an angle formed by 2 intersecting chords?

Instruction: 1. Fill in the table below. Apply the Central Angle Intercepted Arc Postulate in determining the measures of the arcs DF and CE. 2. To have 3 trials, move any of the points C, D, E, or F. 3. Based on your table entry, write a mathematical equation to determine the m∠CGE.
The activity above shows the Angles of Intersecting Chords Theorem. Click the link below for the proof of the theorem.

Proof of the theorem