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      Question

      In triangle XYZ, XY = YZ and m∠X = 78°. Find the

      value of m∠Y.
      A 28° Correct Answer Incorrect Answer
      B 24° Correct Answer Incorrect Answer
      C 34° Correct Answer Incorrect Answer
      D 39° Correct Answer Incorrect Answer

      Solution

      Let the base angles be m∠Y and m∠Z. Since XY = YZ, m∠X = m∠Z. m∠X + m∠Y + m∠Z = 180º 78º + m∠Y + 78º  = 180º ⇒ 156º + m∠Y = 180º ⇒ m∠Y = 180º - 156º ⇒ m∠Y = 24º

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