SATHEE: Quantitative Aptitude Ques 1792

Quantitative Aptitude Ques 1792

Question: In the given figure, if $ l||m, $ then find the value of x.

Options:

A) $ 105{}^\circ $

B) $ 100{}^\circ $

C) $ 110{}^\circ $

D) $ 115{}^\circ $

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Draw a line n passing through O and parallel to l and m. Since, $ l||n, $ $ \angle 1+100{}^\circ =180{}^\circ $ [sum of the interior angles on the same side of the transversal]

$ \Rightarrow $ $ \angle 1=80{}^\circ $ Since, $ n||m, $ $ \angle 2=30{}^\circ $ [alternate angles] Now, $ AOB=\angle 1+\angle 2 $ $ =(80+30{}^\circ )=110{}^\circ $ But $ \angle AOB=(X+5){}^\circ =110{}^\circ $

$ \Rightarrow $ $ x=(110-5){}^\circ =105{}^\circ $

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Quantitative Aptitude Ques 1792

Question: In the given figure, if $ l||m, $ then find the value of x.

Options:

Answer:

Solution:

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