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Use the Properties of Parallel Lines to Solve the Problem AB‾∥CD‾,m∠ABC=65∘\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, AB‾∥CD‾,m∠ABC=65∘\overline { \mathrm { AB } } \| \overline { \mathrm { CD } } , \mathrm { m } \angle \mathrm { ABC } = 65 ^ { \circ } . Find the measures of angles ∠ABE,∠FCD\angle \mathrm { ABE } , \angle \mathrm { FCD } , and ∠BCD\angle \mathrm { BCD } .
 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 }


A) m∠BCD=m∠ABE=m∠FCD=25∘m \angle B C D = m \angle A B E = m \angle F C D = 25 ^ { \circ }
B) m∠BCD=m∠ABE=65∘,m∠FCD=115∘\mathrm { m } \angle B C D = m \angle A B E = 65 ^ { \circ } , m \angle F C D = 115 ^ { \circ }
C) m∠BCD=65∘,m∠ABE=m∠FCD=115∘m \angle B C D = 65 ^ { \circ } , m \angle A B E = m \angle F C D = 115 ^ { \circ }
D) m∠BCD=65∘,m∠ABE=m∠FCD=25∘m \angle B C D = 65 ^ { \circ } , m \angle A B E = m \angle F C D = 25 ^ { \circ }

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