SOLUTION: Please assist me on this proof, I am really not sure where to begin. If angle measures are restricted to values between 0 degrees and 180 degrees, is the interior of every angle

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Question 162220This question is from textbook Roads to Geometry
: Please assist me on this proof, I am really not sure where to begin.
If angle measures are restricted to values between 0 degrees and 180 degrees, is the interior of every angle a convex set? Explain. If as Birkhoff did, we allow angle measures to have values between 0 degrees and 360 degrees, is the interior of every angle a convex set? Explain.
This question is from textbook Roads to Geometry

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What do you mean by a convex set?
Cheers,
Stan H.