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Arjun marks a transversal crossing two roads in his town map. On the left side of the transversal the two interior angles are 88° and 89°.
Decide, using the fifth postulate, whether the two roads will eventually meet on the left side.

Class 9The Fifth PostulateGeometry — Foundations
  • AYes, they meet on the left because 177° < 180°
  • BNo, they meet on the right side
  • CNo, they are parallel
  • DThey meet exactly at the transversal

Step-by-Step Solution

On the left side the interior angles sum to 88 + 89 = 177°, which is less than two right angles (180°). By the fifth postulate the roads meet on that same (left) side.
Answer: A) Yes, they meet on the left because 177° < 180°

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