A, B and C are three points on a circle such that the angles subtended by the chord AB and AC at the centre O are 110º and 130º, respectively. Then the value of ∠BAC is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 60º
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According to question:
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ΔAOB and ΔAOC both are Isosceles triangles. So, ∠OAC = ∠OCA & ∠OAB = ∠OBA In triangle ΔAOB: ⇒ ∠OAC + ∠OCA + ∠AOC = 180 ⇒ 2∠OAC = 180 - 130 ⇒ 2∠OAC = 50 ⇒ ∠OAC = 25º & Similarly ∠OAB = 35º |
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Hence, ∠BAC = 25 + 35 = 60º |
