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Find this angle

  1. Aug 16, 2013 #1

    utkarshakash

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    1. The problem statement, all variables and given/known data
    In the parallelogram ABCD the internal bisectors of the consecutive angles B and C intersect at P. Use vector method to find angle BPC.

    2. Relevant equations

    3. The attempt at a solution
    I assume angle BPC to be θ and the point of intersection of internal bisectors to be P. But what is the next operation which I should use? I tried taking dot product of PB and PC but I don't yet know the magnitudes of both vectors.
     
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  3. Aug 16, 2013 #2

    haruspex

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    Invent some vector variables to represent, say, CD and CB. What vector represents the direction of the bisector of BCD? How about that of ABC?
     
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