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Which of the following statements is not true ?

  • A.Sum of two acute angles can be equal to a straight angle.
  • B.Sum of two acute angles can be equal to a right angle.
  • C.Sum of two acute angles can be equal to an obtuse angle.
  • D.Sum of an acute angle and an obtuse angle can be equal to a straight angle.

Answer: A

The statement that is not true is sum of two acute angles can be equal to a straight angle.

An acute angle is less than 90°, so two acute angles together are always less than 180°. A straight angle is exactly 180°, so two acute angles can never make one.

The other statements are possible. Two acute angles can make a right angle (40° + 50° = 90°) or an obtuse angle (60° + 70° = 130°). An acute and an obtuse angle can make a straight angle (60° + 120° = 180°), as the angles in a linear pair often do.

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