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      Question

      In the figure, ABCD is a cyclic quadrilateral with O as

      center of the circle If ∠ BOC = 136°, find ∠ OBC.
      A 10 Correct Answer Incorrect Answer
      B 22 Correct Answer Incorrect Answer
      C 12 Correct Answer Incorrect Answer
      D 18 Correct Answer Incorrect Answer

      Solution

      ATQ, In triangle OBC- ∠ BOC+ ∠ OBC+ ∠ OCB = 180 136 + ∠ OBC+ ∠ OBC = 180 ( OB = OC ) 2 ∠ OBC = 44 ∠ OBC = 22

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