- #1

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## Homework Statement

imgur.com/a/bsAKl

[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.

## Homework Equations

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 going to be on the state final as well.