Interior Intersections

Answer the following questions on your own paper:
[b][i]DO NOT MOVE POINTS until question 4[br][/i][/b]1. What are line CD and line FE? (Look at your Circle Vocab in Canvas)[br]2. What do you know about [math]\angle CGE[/math] and [math]\angle FGD[/math]?[br]3. Compare the sum of Arc [i]FBD [/i]and Arc [i]CE [/i]to the measure of [math]\angle CGE[/math]. What do you notice?[br]4. Change the angles as follows and repeat #2 until you can make a conjecture. Write it down![br] a) Arc CE [math]\approx100^\circ[/math] and Arc FBD [math]\approx70^\circ[/math][br] b) Arc CE [math]\approx40^\circ[/math] and Arc FBD [math]\approx120^\circ[/math][br] **[i]Make sure none of the points switch places!![/i][br]5. Why do you think that pattern occurs?

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