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 $|DG| = 1$.

Determine which of the angles, $\angle BAF$ or $\angle BDG$, is bigger.

Determine which of the angles, $\angle BAF$ or $\angle BDG$, is bigger.