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 $
BETA
