Basic triangle plane geometry problem - impossible?

rieuk
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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...
 
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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:
 
That's what I thought! Cheers!
 

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