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In the figure, if O is the centre of the circle and ∠BOA = 120°, then the value of x is
  • a)
    90°
  • b)
    60°
  • c)
    120°
  • d)
    30°
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In the figure, if O is the centre of the circle and ∠BOA = 120&#...
∠BOA = 120° (Given)
∠AOC = 60° (Linear Pair)
In triangle OAC,
OA = OC (Radii of same circle)
∠OAC = ∠ OCA = x (angle opposite to equal sides are equal)
∵ ∠A + ∠C +∠O = 180°
⇒ x + x + 60 = 180°
⇒ 2x = 120°
⇒ x =60o
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Most Upvoted Answer
In the figure, if O is the centre of the circle and ∠BOA = 120&#...
∠BOA = 120° (Given)
∠AOC = 60° (Linear Pair)
In triangle OAC,
OA = OC (Radii of same circle)
∠OAC = ∠ OCA = x (angle opposite to equal sides are equal)
∵ ∠A + ∠C +∠O = 180°
⇒ x + x + 60 = 180°
⇒ 2x = 120°
⇒ x =60o
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Community Answer
In the figure, if O is the centre of the circle and ∠BOA = 120&#...
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