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MathNet 2019-part-01 — 184 problems (EN–VI) Question 114

Math Olympiad Vault · MathNet 2019-part-01 — 184 problems (EN–VI)

Question 114

The rhombus $ABCD$ is given. Let $E$ be one of the points of intersection of the circles $\Gamma_B$ and $\Gamma_C$, where $\Gamma_B$ is the circle centered at $B$ and passing through $C$, and $\Gamma_C$ is the circle centered at $C$ and passing through $B$. The line $ED$ intersects $\Gamma_B$ at the point $F$.
Find the value of the angle $\angle AFB$.