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Arjun says: 'If two angles are supplementary, they must form a linear pair.'
Is Arjun correct? Choose the best reason.

Class 9Linear Pair and Vertically Opposite AnglesGeometry — Lines and Angles
  • ACorrect, supplementary always means linear pair
  • BIncorrect, supplementary angles only need to sum to 180°, not be adjacent on a line
  • CCorrect, both add to 90°
  • DIncorrect, supplementary angles sum to 360°

Step-by-Step Solution

A linear pair is supplementary AND adjacent with a common arm on a straight line. Two angles summing to 180° need not be adjacent, so Arjun is wrong.
Answer: B) Incorrect, supplementary angles only need to sum to 180°, not be adjacent on a line

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