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A transversal cuts two parallel lines. The bisectors of a pair of alternate interior angles (each equal to t) are drawn.
What is the relationship between these two bisectors?

Class 9Parallel Lines and a TransversalGeometry — Lines and Angles
  • AThey are parallel
  • BThey are perpendicular
  • CThey coincide
  • DThey meet at 60°

Step-by-Step Solution

Alternate interior angles are equal (t each). Their bisectors make equal alternate angles (t/2 each) with the transversal, so the bisectors are parallel.
Answer: A) They are parallel

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