IMAS 2024–2025 Junior Division First Round Question 2

Question 2

In the diagram below, points $A,B,C,D,E,F,G,H$ divide the circumference into 8 equal parts. If $X$ is the intersection of $AE$ and $BG$, what is the measure, in degrees, of $\angle GXE$?

Question illustration

$45^\circ$
$52.5^\circ$
$60^\circ$
$67.5^\circ$
$75^\circ$