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1 give 3 example of acute angle, 2 give 3 example of obtuse angle, 3 give 3 example of reflex angle, A give 3 example of complementary angle

Mathematics

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Here are the examples for each type of angle:

1) An acute angle is an angle measuring less than 90∘90^\circ.
Examples:

  • 30∘30^\circ
  • 45∘45^\circ
  • 80∘80^\circ Acute angles: 30∘,45∘,80∘\boxed{\text{Acute angles: } 30^\circ, 45^\circ, 80^\circ}

2) An obtuse angle is an angle measuring greater than 90∘90^\circ but less than 180∘180^\circ.
Examples:

  • 100∘100^\circ
  • 135∘135^\circ
  • 160∘160^\circ Obtuse angles: 100∘,135∘,160∘\boxed{\text{Obtuse angles: } 100^\circ, 135^\circ, 160^\circ}

3) A reflex angle is an angle measuring greater than 180∘180^\circ but less than 360∘360^\circ.
Examples:

  • 200∘200^\circ
  • 270∘270^\circ
  • 315∘315^\circ Reflex angles: 200∘,270∘,315∘\boxed{\text{Reflex angles: } 200^\circ, 270^\circ, 315^\circ}

4) Complementary angles are two angles whose sum is 90∘90^\circ.
Examples:

  • 30∘30^\circ and 60∘60^\circ (30∘+60∘=90∘30^\circ + 60^\circ = 90^\circ)
  • 40∘40^\circ and 50∘50^\circ (40∘+50∘=90∘40^\circ + 50^\circ = 90^\circ)
  • 15∘15^\circ and 75∘75^\circ (15∘+75∘=90∘15^\circ + 75^\circ = 90^\circ) Complementary angles: (30∘,60∘),(40∘,50∘),(15∘,75∘)\boxed{\text{Complementary angles: } (30^\circ, 60^\circ), (40^\circ, 50^\circ), (15^\circ, 75^\circ)}
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