In the given figure below, two chords AB and CD of a circle with centre O intersect at P. If ∠APC=30∘. Then the value of ∠AOC+ ∠BOD is

50∘

60∘

80∘

120∘

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In the given figure below, two chords AB and CD of a circle with centre O intersect at P. If ∠APC=30∘. Then the value of ∠AOC+ ∠BOD is

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Text solutionVerified

(d): Arc AC subtends ∠AOC at the centre and ∠ABC at the circumference. Similarly, ∠BOD=2∠BCD ∴ ∠AOC+∠BOD =2(∠ABC+∠BCD) =2∠APC=2×30∘=60∘

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Question Text	In the given figure below, two chords AB and CD of a circle with centre O intersect at P. If ∠APC=30∘. Then the value of ∠AOC+ ∠BOD is
Answer Type	Text solution:1
Upvotes	150