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A surveyor lays two straight boundary lines and a transversal across a field near Jaipur. The interior angles on one side are 100° and 80°.
What is the relationship between the two boundary lines?

Class 9The Fifth PostulateGeometry — Foundations
  • AThey are parallel
  • BThey meet on this side
  • CThey meet on the opposite side
  • DThey are perpendicular

Step-by-Step Solution

The co-interior angles sum to 100 + 80 = 180° = two right angles. By the fifth postulate the lines do not meet on either side; they are parallel.
Answer: A) They are parallel

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