Quantitative Aptitude Ques 285

Question: In the figure given below, $ AB\parallel CD $ and EF intersects them. Then, the value of x is

Options:

A) $ 18{}^\circ $

B) $ 14{}^\circ $

C) $ 28{}^\circ $

D) $ 24{}^\circ $

Show Answer

Answer:

Correct Answer: C

Solution:

  • According to the question, From figure, $ \angle EOB=\angle EMD=2x{}^\circ $ [corresponding angel] Now, $ \angle EMD+\angle EMC=180{}^\circ $

$ \therefore $ $ 4x+12{}^\circ +2x=180{}^\circ $

$ \Rightarrow $ $ 6x+12{}^\circ =180{}^\circ $
$ \Rightarrow $ $ 6x=168{}^\circ $

$ \Rightarrow $ $ x=\frac{168{}^\circ }{6} $
$ \Rightarrow $ $ x=28{}^\circ $