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In a parallelogram-shaped tile design, side PQ is parallel to side SR, and diagonal PR acts as a transversal. Angle QPR = 42°.
Find angle PRS (the alternate interior angle across the parallel sides).

Class 9Parallel Lines and a TransversalGeometry — Lines and Angles
  • A38
  • B42
  • C46
  • D84

Step-by-Step Solution

PQ || SR with PR as transversal, so angle QPR and angle PRS are alternate interior angles and equal: 42°.
Answer: B) 42

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