Use the Properties of Parallel Lines to Solve the Problem $\overline { \mathrm { AB } } \| \overline { \mathrm { CD } } , \mathrm { m } \angle \mathrm { ABC } = 65 ^ { \circ }$

question 141

Multiple Choice

Use the properties of parallel lines to solve the problem.
-In the figure, $\overline { \mathrm { AB } } \| \overline { \mathrm { CD } } , \mathrm { m } \angle \mathrm { ABC } = 65 ^ { \circ }$ . Find the measures of angles $\angle \mathrm { ABE } , \angle \mathrm { FCD }$ , and $\angle \mathrm { BCD }$ .

• A) \(m \angle B C D = m \angle A B E = m \angle F C D = 25 ^ { \circ }\)
• B) \(\mathrm { m } \angle B C D = m \angle A B E = 65 ^ { \circ } , m \angle F C D = 115 ^ { \circ }\)
• C) \(m \angle B C D = 65 ^ { \circ } , m \angle A B E = m \angle F C D = 115 ^ { \circ }\)
• D) \(m \angle B C D = 65 ^ { \circ } , m \angle A B E = m \angle F C D = 25 ^ { \circ }\)

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