SATHEE: Quantitative Aptitude Ques 1980

Quantitative Aptitude Ques 1980

Question: In the quadrilateral ABCD shown below, $ \angle DAB=\angle DCX=120{}^\circ . $ If $ \angle ABC=105{}^\circ , $ then what is the value of $ \angle ADC? $

Options:

A) $ 45{}^\circ $

B) $ 60{}^\circ $

C) $ 75{}^\circ $

D) $ 95{}^\circ $

Show Answer

Answer:

Correct Answer: C

Solution:

Given, $ \angle ABC=105{}^\circ $ $ \angle DAB=120{}^\circ $
$ \Rightarrow $ $ \angle DCX=120{}^\circ $

$ \Rightarrow $ $ \angle DCB=180{}^\circ -120{}^\circ =60{}^\circ $ Since, angles of a quadrilateral is equal to $ 360{}^\circ . $

$ \therefore $ $ \angle ADC=360{}^\circ -[120{}^\circ +105{}^\circ +60{}^\circ ] $ $ =360{}^\circ -285{}^\circ =75{}^\circ $

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Quantitative Aptitude Ques 1980

Question: In the quadrilateral ABCD shown below, $ \angle DAB=\angle DCX=120{}^\circ . $ If $ \angle ABC=105{}^\circ , $ then what is the value of $ \angle ADC? $

Options:

Answer:

Solution:

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