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angle chasing inside an isosceles triangle

Source: TOT 534 1997 Spring J A6 - - Tournament Of Towns

September 11, 2024
geometryanglesIsosceles Triangleisosceles

Problem Statement

Let PP be a point inside the triangle ABCABC such that AB=BCAB = BC, ∠ABC=80o\angle ABC = 80^o, ∠PAC=40o\angle PAC = 40^o and ∠ACP=30o\angle ACP = 30^o. Find ∠BPC\angle BPC.
(G Galperin)
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