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NL-NWO 1973 Problem 3

    The angles AA and BB of base of the isosceles triangle ABCABC are equal to 40o40^o . Inside △ABC\vartriangle ABC , PP is such that ∠PAB=30o\angle PAB = 30^o and ∠PBA=20o\angle PBA = 20^o . Calculate, without table, ∠PCA\angle PCA .

    Dataset text AI-MO AoPS. Quoted with source.

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