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MathNet 2026 — Part 06 Question 151

Math Olympiad Vault · MathNet 2026 — Part 06

Question 151

The Mosers' spindle is a seven point configuration in the plane in which **ABC**, **BCD**, **AEF** and **EFG** are equilateral triangles with side length $1$. The points $A$, $B$, $D$, $G$, $F$ form a convex pentagon with $|DG| = 1$.
Question illustration
Determine which of the angles, $\angle BAF$ or $\angle BDG$, is bigger.