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On the same side of a transversal, two interior angles are 95° and 88°. According to the fifth postulate, on which side do the lines meet?

Class 9The Fifth PostulateGeometry — Foundations
  • AOn this same side (where the angles are)
  • BOn the opposite side
  • CThey never meet
  • DThey meet at the transversal only

Step-by-Step Solution

On this side the sum is 95 + 88 = 183°, which is MORE than 180°. So the side whose interior angles sum to less than 180 deg (here 360 - 183 = 177°) is the opposite side. By the fifth postulate the lines meet on that opposite side.
Answer: B) On the opposite side

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