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      Question

      If two parallel lines are intersected by a transversal,

      then which of the options below is not necessarily correct?
      A A pair of corresponding angles have the same measure. Correct Answer Incorrect Answer
      B A pair of interior angles on the same side of the transversal have the same measure. Correct Answer Incorrect Answer
      C A pair of vertically opposite angles have the same measure. Correct Answer Incorrect Answer
      D A pair of alternate interior angles have the same measure. Correct Answer Incorrect Answer

      Solution

      ATQ,

      Interior angles on the same side of the transversal are not equal, but they are supplementary (sum to 180°). Example: If one angle is 70°, the other must be 110°, not the same. Correct Statements: ✔ Corresponding angles are equal. ✔ Alternate interior angles are equal. ✔ Vertically opposite angles are equal. The second option is incorrect.

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