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Two interior angles on the same side of a transversal are 91° and 92°.
Without drawing, on which side of the transversal will the two lines actually meet, according to the fifth postulate?

Class 9The Fifth PostulateGeometry — Foundations
  • AOn the side opposite to these angles
  • BOn the same side as these angles
  • CExactly midway
  • DThey are parallel

Step-by-Step Solution

On this side the angles sum to 91 + 92 = 183° > 180. So on the OTHER side they sum to 360 - 183 = 177° < 180. By the fifth postulate the lines meet on that opposite side.
Answer: A) On the side opposite to these angles

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