Use the properties of parallel lines to solve the problem.
-In the figure, $\overline{\mathrm{AB}} \| \overline{\mathrm{CD}} . \mathrm{m} \angle \mathrm{ABC}=57^{\circ}$. Find the measures of angles $\angle \mathrm{ABE}, \angle \mathrm{FCD}$, and $\angle \mathrm{BCD}$.

A) $\mathrm{m} \angle \mathrm{BCD}=\mathrm{m} \angle \mathrm{ABE}=57^{\circ}, \mathrm{m} \angle \mathrm{FCD}=123^{\circ}$
B) $\mathrm{m} \angle \mathrm{BCD}=57^{\circ}, \mathrm{m} \angle \mathrm{ABE}=\mathrm{m} \angle \mathrm{FCD}=33^{\circ}$
C) $\mathrm{m} \angle \mathrm{BCD}=\mathrm{m} \angle \mathrm{ABE}=\mathrm{m} \angle \mathrm{FCD}=33^{\circ}$
D) $\mathrm{m} \angle \mathrm{BCD}=57^{\circ}, \mathrm{m} \angle \mathrm{ABE}=\mathrm{m} \angle \mathrm{FCD}=123^{\circ}$

Question

Use the properties of parallel lines to solve the problem.
-In the figure, $\overline{\mathrm{AB}} \| \overline{\mathrm{CD}} . \mathrm{m} \angle \mathrm{ABC}=57^{\circ}$. Find the measures of angles $\angle \mathrm{ABE}, \angle \mathrm{FCD}$, and $\angle \mathrm{BCD}$.

A) $\mathrm{m} \angle \mathrm{BCD}=\mathrm{m} \angle \mathrm{ABE}=57^{\circ}, \mathrm{m} \angle \mathrm{FCD}=123^{\circ}$ 
B) $\mathrm{m} \angle \mathrm{BCD}=57^{\circ}, \mathrm{m} \angle \mathrm{ABE}=\mathrm{m} \angle \mathrm{FCD}=33^{\circ}$ 
C) $\mathrm{m} \angle \mathrm{BCD}=\mathrm{m} \angle \mathrm{ABE}=\mathrm{m} \angle \mathrm{FCD}=33^{\circ}$ 
D) $\mathrm{m} \angle \mathrm{BCD}=57^{\circ}, \mathrm{m} \angle \mathrm{ABE}=\mathrm{m} \angle \mathrm{FCD}=123^{\circ}$

Quizplus · Accepted Answer

The Answer of Use the properties of parallel lines to solve the problem.
-In the figure, $\overline{\mathrm{AB}} \| \overline{\mathrm{CD}} . \mathrm{m} \angle \mathrm{ABC}=57^{\circ}$. Find the measures of angles $\angle \mathrm{ABE}, \angle \mathrm{FCD}$, and $\angle \mathrm{BCD}$.

A) $\mathrm{m} \angle \mathrm{BCD}=\mathrm{m} \angle \mathrm{ABE}=57^{\circ}, \mathrm{m} \angle \mathrm{FCD}=123^{\circ}$ 
B) $\mathrm{m} \angle \mathrm{BCD}=57^{\circ}, \mathrm{m} \angle \mathrm{ABE}=\mathrm{m} \angle \mathrm{FCD}=33^{\circ}$ 
C) $\mathrm{m} \angle \mathrm{BCD}=\mathrm{m} \angle \mathrm{ABE}=\mathrm{m} \angle \mathrm{FCD}=33^{\circ}$ 
D) $\mathrm{m} \angle \mathrm{BCD}=57^{\circ}, \mathrm{m} \angle \mathrm{ABE}=\mathrm{m} \angle \mathrm{FCD}=123^{\circ}$

Use the Properties of Parallel Lines to Solve the Problem AB‾∥CD‾.m∠ABC=57∘\overline{\mathrm{AB}} \| \overline{\mathrm{CD}} . \mathrm{m} \angle \mathrm{ABC}=57^{\circ}AB∥CD.m∠ABC=57∘

Use the Properties of Parallel Lines to Solve the Problem $\overline{\mathrm{AB}} \| \overline{\mathrm{CD}} . \mathrm{m} \angle \mathrm{ABC}=57^{\circ}$