Circles all Lined Up

All right, we've looked at the rules for circles, and there are lots of them. It doesn't ever seem to be more than cutting a number in half mathematically, but there sure are a lot of things to remember. Let's see if you can create one yourself. Using some circle as a base (like a can or something), put in to it every rule we've learned in circles such that all the angles and arcs are appropriately marked and measured. Inscribed angles, tangents intersecting with diameters, congruent chords cutting off equivalent arcs, central angles, etc...
Your task is then to turn in to solvable problems, where enough information is given for another student to then solve for missing arcs and angles. There should be a minimum of 10 angles/arcs to solve for. An example is posted below this text. If you're not sure on how to proceed after looking at my example, I'll be glad to show you another physical copy in the classroom, just ask. This is going to be a high value HW assignment, so choosing to skip this one will be harmful to your overall grade. I appreciate your efforts!

Completion of this HW assignment is three-fold:
1) Draw the circle, put in the appropriate segments/lines and figure all the angle/arc measures for your self.
2) Take out a lot of the measures, leaving just enough for another student to be able to solve it themselves as best they can.
3) Actually give that drawing for the other student to solve (trade, if you will) and see if indeed if it is solvable. Remember, there is a minimum of 10 'answers' for the partner to try to get.
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