Quantitative Aptitude Ques 544

Question: If $ \angle LTS=38{}^\circ , $ find external $ \angle TOL. $

Options:

A) $ 288{}^\circ $

B) $ 264{}^\circ $

C) $ 274{}^\circ $

D) $ 284{}^\circ $

Show Answer

Answer:

Correct Answer: D

Solution:

  • According to the figure, $ \because $ $ \angle LTS=\angle LTO $
    $ \therefore $ $ \angle TPL=\angle LTO=38{}^\circ $ Now, $ x=\angle LOT=2,\angle LPT=76{}^\circ $ Hence, exterior $ \angle TOL=360{}^\circ -76{}^\circ =284{}^\circ $
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