anavillatoro071
anavillatoro071 anavillatoro071
  • 04-11-2020
  • Mathematics
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True or False
It is possible to have complementary angles where one is acute and one is obtuse.
Explain why or why not.

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TannerObrian
TannerObrian TannerObrian
  • 04-11-2020

Answer:

A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. The side opposite the obtuse angle in the triangle is the longest.

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