Use the Properties of Parallel Lines to Solve the Problem $\overline{\mathrm{BC}} \| \overline{\mathrm{DE}} . \mathrm{m} \angle \mathrm{ABC}=45^{\circ}$

Multiple Choice

Use the properties of parallel lines to solve the problem.
-In the figure, $\overline{\mathrm{BC}} \| \overline{\mathrm{DE}} . \mathrm{m} \angle \mathrm{ABC}=45^{\circ}$ . Given this information, find the measures of as many other angles as possible.

A) $\mathrm{m} \angle \mathrm{ADE}=45^{\circ}, \mathrm{m} \angle \mathrm{DBC}=\mathrm{m} \angle \mathrm{ECB}=135^{\circ}$
B) $\mathrm{m} \angle \mathrm{ADE}=\mathrm{m} \angle \mathrm{ACB}=\mathrm{m} \angle \mathrm{AED}=45^{\circ}, \mathrm{m} \angle \mathrm{DBC}=\mathrm{m} \angle \mathrm{ECB}=135^{\circ}$
C) $\mathrm{m} \angle \mathrm{ADE}=45^{\circ}, \mathrm{m} \angle \mathrm{DBC}=135^{\circ}$
D) $\mathrm{m} \angle \mathrm{ADE}=\mathrm{m} \angle \mathrm{ACB}=\mathrm{m} \angle \mathrm{AED}=45^{\circ}$