Q83
In the given figure, O is the centre of the circle. If ∠BAO = 30° and ∠BCO = 50°, then ∠AOC is equal to:
In the given figure, O is the centre of the circle. If ∠BAO = 30° and ∠BCO = 50°, then ∠AOC is equal to:
A.
160°
AnswerB.
60°
C.
40°
D.
80°
Answer: Option A
Solution
Answer: Option A
Solution:
Let, Angle ABC = x
Then, Angle AOC = 2x
In Quadrilateral ABCO,
30° + 50° + x + 360° - 2x = 360°
⇒ x = 80°
So, 2x = 160°