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Basic triangle plane geometry problem - impossible?

  1. Jun 29, 2011 #1
    Consider a point P inside a triangle ABC. Angle PBC is 10 degrees, angle PCB is 20 degrees, and angle BAC is 100 degrees. Find angle PAC.

    Question is that is this problem even solvable? I found it in an Olympiad training book...
  2. jcsd
  3. Jun 30, 2011 #2


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    hi rieuk! :smile:

    no, A could be anywhere on an arc of a circle, so PAC could be anything between 0° and 100° :confused:
  4. Jul 1, 2011 #3
    That's what I thought! Cheers!!
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