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Regional Olympiad - FBH 2018 Grade 11 Problem 3

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2018

September 18, 2018
geometryTriangleisosceles

Problem Statement

In triangle ABCABC given is point PP such that ∠ACP=∠ABP=10∘\angle ACP = \angle ABP = 10^{\circ}, ∠CAP=20∘\angle CAP = 20^{\circ} and ∠BAP=30∘\angle BAP = 30^{\circ}. Prove that AC=BCAC=BC
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