Problem #PRU-54043

Problem

On the diagram below the line $BD$ is the bisector of the angle $\mathrm{\angle }ABC$ in the triangle $ABC$. A line through the vertex $C$ parallel to the line $BD$ intersects the continuation of the side $AB$ at the point $E$. Find the angles of the triangle $BCE$ triangle if $\mathrm{\angle }ABC={110}^{\circ }$.