O is the centre of the circle and BCD is the tangent to it at C. ∠BAC+∠ACD=
A
180
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B
90
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C
60
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D
150
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Solution
The correct option is B 90
In triangle OCA ∠OCA=∠OAC { angles opposite to equal sides (OC = OA= radius)} And, OC ⊥ BCD ( tangent to a circle is always perpendicular to the radius at that point ) So, ∠OCA+∠ACD=90∘ But, ∠OCA=∠OAC So, ∠AOC∠ACD=90∘