[I didn't know how else to upload an image from my iPad]
In this problem:
-Center of the circle=Point F
-Arc AB= 110 degrees
-Arc CD= 40 degrees
Find the measure of angle E.
I know of some equations, but I don't know if they apply to this particular problem.
The Attempt at a Solution
I tried for about 10 minutes, but I didn't know where to begin. I was absent on the day this was taught (I think) and I don't feel like searching for this in the eBook.
Anyways, so far I know:
-Arc AB + Arc CD + something = 360 degrees
Other than that, I really don't know what else I can do with this info.
*I know the answer to this is 40 degrees because it was posted later, but I don't know how that is the answer.
My friend said that whenever he sees a triangle, he does the Triangle Angle Sum Theorem. He said he did 180 degrees - (110 degrees + 40 degrees) to get 40 degrees.
*I know that's incorrect because:
(A) That "shape" is not a triangle because AB and CD are arcs, not straight lines.
(B) The measurements are for the arcs, not the angles of the supposed "triangle". Arc =/= Angle.
BUT he still got it correct. A bunch of other people did that wrong method but got the correct answer as well, while I left it blank. Please help guys because this is gonna be on the state final as well.