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Two parallel lines AB and CD are cut by a transversal PQ at points X and Y respectively, with B and D on the same side of PQ. Angle PXB = 110°.
Find angle XYD.

Class 9Parallel Lines and a TransversalGeometry — Lines and Angles
  • A140
  • B110
  • C70
  • D77

Step-by-Step Solution

Angle PXB and angle XYD are corresponding angles (both lie above their parallel line, on the B/D side of the transversal), so angle XYD = angle PXB = 110°. (Check: the co-interior pair angle BXY = 180 - 110 = 70° and angle XYD add to 70 + 110 = 180°.)
Answer: B) 110

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