Problem #WSP-000168

Problem

Let $BCDE$ be a quadrilateral inscribed in a circle with centre $A$. Show that angles $\mathrm{\angle }CDE$ and $\mathrm{\angle }CBE$ are equal. Also show that angles $\mathrm{\angle }BCD$ and $\mathrm{\angle }BED$ are equal. This says that all angles at the circumference subtended by the same arc are equal.