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Which of the following statements is not correct ?

  • A.One acute angle and one obtuse angle can be put together to make a straight angle.
  • B.Reflex angle is greater than 180° but less than 360°.
  • C.Two acute angles can be put together to make a reflex angle.
  • D.Two acute angles can be put together to make an obtuse angle.

Answer: C

The incorrect statement is Two acute angles can be put together to make a reflex angle.

Each acute angle is less than 90°, so two together are less than 180°. A reflex angle is more than 180°, so two acute angles can never make one.

The other statements are correct. An acute and an obtuse angle can sum to exactly 180°, for example 60° and 120°, giving a straight angle. A reflex angle does lie between 180° and 360°. Two acute angles can exceed 90°, for example 50° and 60° make 110°, which is obtuse.

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