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 $
BETA
