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In the figure, AB || CD. A transversal makes angle a = 55° with AB. A second transversal through the same region makes angle b = 55° with AB in the same direction.
Which relationship must hold between the two transversals?

Class 9Parallel Lines and a TransversalGeometry — Lines and Angles
  • AThey are parallel to each other
  • BThey are perpendicular
  • CThey are the same line
  • DThey make a 110° angle

Step-by-Step Solution

Both transversals make equal corresponding angles (55°) with AB, so by the converse axiom they are parallel to each other.
Answer: A) They are parallel to each other

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