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external bisector

Source: 2021 Taiwan APMO Preliminary First Round

November 21, 2020
geometryangle bisector

Problem Statement

△ABC\triangle ABC, ∠A=23∘,∠B=46∘\angle A=23^{\circ},\angle B=46^{\circ}. Let Γ\Gamma be a circle with center CC, radius ACAC. Let the external angle bisector of ∠B\angle B intersects Γ\Gamma at M,NM,N. Find ∠MAN\angle MAN.
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