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      Question

      In the figure BD = CD = AC, ∠ ABC = 27 ° , ∠ ACD =

      y. Find value of x.
      A 40° Correct Answer Incorrect Answer
      B 60° Correct Answer Incorrect Answer
      C 72° Correct Answer Incorrect Answer
      D 80° Correct Answer Incorrect Answer

      Solution

      ∠ BCD = ∠ DBC = 27°  (BD = CD)                   ∠ BDC = 180° – (27° + 27° )= 126°                   ∠ ADC = 180° – ∠ BDC = 54°                   ∠ DAC = ∠ ADC = 54° (CD = AC)                   x = 180° – (54° + 54° ) = 72°

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