In the figure, ABCD and BEFG are squares, and BCE is an equilateral triangle.
What is the number of degrees in angle GCE ?

Center of a circle in B with radius r=BG=BE=BC
Central Angle Theorem:
The angle at the centre is twice the angle at the circumference.

\(\beta = \frac{\alpha}{2}=\frac{90^{\circ}}{2}=45^{\circ}\)
