MathDB
PRMO 2015. p16.

Source:

April 9, 2024
Angle ChasinggeometryConcyclic

Problem Statement

16.16. In an acute angle triangle ABC,ABC, let DD be the foot of the altitude from A,A, and EE be the midpoint of BC.BC. Let FF be the midpoint of AC.AC. Suppose ∠BAE=40o.\angle{BAE}=40^o. If ∠DAE=∠DFE,\angle{DAE}=\angle{DFE}, What is the magnitude of ∠ADF\angle{ADF} in degrees ??
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