Quantitative Aptitude Ques 323
Question: AB is a diameter of a circle having centre at O. P is a point on the circumference of the circle. If $ \angle POA=120{}^\circ , $ then measure of $ \angle PBO $ is
Options:
A) $ 68{}^\circ $
B) $ 60{}^\circ $
C) $ 75{}^\circ $
D) $ 70{}^\circ $
Show Answer
Answer:
Correct Answer: B
Solution:
- Given, AB is diameter and $ \angle POA=120{}^\circ $
$ \therefore $ $ \angle POB=180{}^\circ -120{}^\circ =60{}^\circ $ $ \because $ $ OP=OB=r $
$ \therefore $ $ \angle PBO=\angle OPB $ $ =\frac{180{}^\circ -60{}^\circ }{2}=60{}^\circ $