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Two friends, Anil and Bina, argue about a figure where a transversal cuts two lines. Anil says: 'A pair of alternate interior angles is 65° and 65°, so the lines are parallel.' Bina says they need corresponding angles to be equal.
Who is right about whether the lines are parallel?

Class 9Parallel Lines and a TransversalGeometry — Lines and Angles
  • AAnil — equal alternate interior angles also prove the lines are parallel
  • BBina — only corresponding angles prove it
  • CNeither — you also need co-interior angles
  • DBoth are wrong — the lines can never be shown parallel

Step-by-Step Solution

If a transversal makes a pair of alternate interior angles equal, the lines are parallel (converse theorem). So Anil is right.
Answer: A) Anil — equal alternate interior angles also prove the lines are parallel

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