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  • 25-10-2019
  • Mathematics
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Is a supplement of a acute angle always obtuse? What if one angle is 30 and the other is 170?

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kitamuragu
kitamuragu kitamuragu
  • 25-10-2019

Yes because if an acute angle is less than 90, then its supplement (the angle that when added to another angle equals to 180°) has to be greater than 90° but less than 180° ( which is basically the definition of an obtuse angle)

A 30° angle is an acute angle and a 170° angle is obtuse but they are not supplementary angles because they do not add up to 180°

I hope this helps you :)

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