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Activity: Central Angle Intercepted Arc Theorem

Instructions:

Drag the points C and D in the given figure to see the relationship between the central angle and its intercepted arc.

1.

What did you observe on the measures of the central angle and its intercepted arc?

2.

With your observation above, state the Central Angle Intercepted Arc Theorem in your own words.

3.

If the measure of the central angle is 75 degrees, what is the measure of its intercepted arc?

4.

If the measure of the central angle is given by this expression 2x+5 and its intercepted arc is -x+6, what is its corresponding measures?