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Euclidean geometry: aadvanced rider

  1. Sep 16, 2013 #1
    1. The problem statement, all variables and given/known data

    LPN is a tangent to circle ADP. Circle BCP touches the larger circle internally at P. Chord AD cuts the smaller circle at B and C and BP and CP are joined

    2. Relevant equations



    3. The attempt at a solution
    ∠P4+5 = ∠B1 (tan chord theorem)
    ∠P1+2 = C1 (tan chord theorem)
     

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  2. jcsd
  3. Sep 29, 2013 #2
    The attached file shows the numbers 1 through 5 which I am taking to indicate that angles PBC, PCB, and LPA are all equal. You didn't say what the problem was.

    I do notice:
    Since angles PBC and PCB are equal and line LN is tangent at P, lines LN and AD are parallel.
    That makes angle PAD also measurement #1.
    That would mean that the two circles are identical.
    So angles 2 and 4 are zero degrees.

    I'm guessing that I have misinterpreted something.

    If you provide details, I take another shot at it.
     
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