Mathematics
Grade9
Easy

Question

Identify the pair of parallel lines.

  1. DE and BC
  2. AB and DE
  3. AB and CD
  4. CD and DE

hintHint:

In this question we have to find the pair of parallel lines, here we will use the reverse theorem. APQ, three angles are given equal so we will look at the angles that can be used to relate the lines. By observing we get that angleABC and angleBCD are alternate interior angles and are equal. Now we can easily identify the parallel lines in the given figure.

The correct answer is: AB and CD


    The pair of parallel lines are AB and CD.

    APQ,
    angleABC=angleBCD= 55degree
    So from reverse theorem of alternate interior angle we can say that AB is parallel to CD and BC is the transversal.

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