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Do you need a two-column proof or just an outline of the proof?

just outline should be fine

Ok.
Here's the idea for this proof.
A full circle is an arc of measure 360 deg.

|dw:1434114713677:dw|

Let's look at two arcs on the figure.

so would we have to figure they both have to equal 180 right?

|dw:1434114801663:dw|

so if one arc is x, the other arc must be 360 - x.
Ok so far?

|dw:1434114997252:dw|

so we would do 360 minus x for both angles?

oh yeah I get it now.

the arc is two times the measure of the angle correct?

|dw:1434115526244:dw|

I marked in the figure the two angles of the two arcs we are dealing with.
|dw:1434115587886:dw|

half of x?

Exactly. It is half of the arc.

|dw:1434115776669:dw|

that would be half of 360- x so 1/2(360-x)

right?

Exactly.
Let me write that down.

|dw:1434116074608:dw|

|dw:1434116159157:dw|
Ok?

okay

Now let's simplify the right side.

We can factor out 1/2
|dw:1434116259666:dw|

Now we combine the x's in the parentheses.
x - x = 0, so we get:
|dw:1434116311737:dw|

Finally we get:
|dw:1434116353183:dw|

gtg, bye

thank you!