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angle chasing when <A=66^o, BD= AB + AC , external angle bisctor of A

Source: 2012 VWO Flanders MO p4

August 7, 2020
geometryangle bisectoranglesAngle Chasing

Problem Statement

In △ABC,∠A=66o\vartriangle ABC, \angle A = 66^o and ∣AB∣<∣AC∣| AB | <| AC |. The outer bisector in AA intersects BCBC in DD and ∣BD∣=∣AB∣+∣AC∣| BD | = | AB | + | AC |. Determine the angles of △ABC\vartriangle ABC.
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