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Is the interior of an angle a convex set?

  1. Mar 28, 2012 #1
    I need to prove the interior of <ABC is a convex set. I know it is. I started by defining the angle as the intersection of two half planes and using the fact that each half plane is convex. I am stuck on where to go from here.
     
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  3. Mar 28, 2012 #2

    Office_Shredder

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    If you could prove the intersection of two convex sets is convex as well you'd be set
     
  4. Mar 28, 2012 #3
    Do you have any suggestions on how to prove the intersection of two half planes is convex?
     
  5. Mar 28, 2012 #4

    HallsofIvy

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    Let p and q be in the intersection of convex sets A and B.

    p and q are both in A so ....

    p and q are both in B so ....
     
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