UPTET Feb 2014, q124

0. In the figure given below, if ∠OAB = 40°,
uptetfeb14/q124
then ∠ACB is equal to

  • Option : A
  • Explanation : In ΔOAB, OA = OB (Radius of the circle)
    ∴ ∠OBA = ∠OAB = 40°
    ⇒ ∠AOB = 180° - ∠OAB - ∠OBA = l80° - 80°
    i.e. ∠AOB =100°
    ⇒ ∠ACB = 1/2∠AOB [Degree measure theorem]
    ∠ACB=50°
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