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On one side of a transversal the two interior angles are 70° and 100°. According to the fifth postulate, will the lines meet on that side?

Class 9The Fifth PostulateGeometry — Foundations
  • AYes, because their sum is less than 180°
  • BNo, because their sum is more than 180°
  • CNo, because they are parallel
  • DYes, because they are equal

Step-by-Step Solution

70 + 100 = 170°, which is less than 180°, so by the fifth postulate the lines meet on that side.
Answer: A) Yes, because their sum is less than 180°

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