Parallel Lines Are Cut by the Transversal Shown $\overline { \mathrm { AB } } \| \overline { \mathrm { CD } }$

question 178

Multiple Choice

Parallel lines are cut by the transversal shown. Determine the measures of the requested angles.
-In the figure, $\overline { \mathrm { AB } } \| \overline { \mathrm { CD } }$ and $\mathrm { m } \angle \mathrm { ABC } = 64 ^ { \circ }$ . Determine the measures of angles $\angle \mathrm { ABE } , \angle \mathrm { FCD }$ , and $\angle B C D$

• A) \(\mathrm { m } \angle \mathrm { BCD } = \mathrm { m } \angle \mathrm { ABE } = 64 ^ { \circ } , \mathrm { m } \angle \mathrm { FCD } = 116 ^ { \circ }\)
• B) \(\mathrm { m } \angle \mathrm { BCD } = 64 ^ { \circ } , \mathrm { m } \angle \mathrm { ABE } = \mathrm { m } \angle \mathrm { FCD } = 116 ^ { \circ }\)
• C) \(m \angle B C D = m \angle A B E = m \angle F C D = 26 ^ { \circ }\)
• D) \(\mathrm { m } \angle \mathrm { BCD } = 64 ^ { \circ } , \mathrm { m } \angle \mathrm { ABE } = \mathrm { m } \angle \mathrm { FCD } = 26 ^ { \circ }\)

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