Quantitative Aptitude Ques 727

Question: In the following figure, $ AC||BD, $ and $ \angle CAF=25{}^\circ , $ $ \angle DBG=65{}^\circ $ and $ BF=BA. $ Then, $ \angle BFE $ is equal to

Options:

A) $ 90{}^\circ $

B) $ 155{}^\circ $

C) $ 140{}^\circ $

D) $ 165{}^\circ $

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Answer:

Correct Answer: C

Solution:

  • Since, $ BF=BA $

$ \therefore $ $ \angle 1+25{}^\circ =65{}^\circ $ [since, $ AC||BD $ ]

$ \Rightarrow $ $ \angle 1=65{}^\circ -25{}^\circ =40{}^\circ $ $ \angle 1=\angle 2=40{}^\circ $ [as $ BF=BA $ ] $ \angle 2+\angle x=180{}^\circ $ [supplementary angles]

$ \Rightarrow $ $ \angle x=140{}^\circ $