Answer to Question #406 in Geometry for tony

Question

The acute angles of any right triangle are supplementary? Is it true?

Answer 1

It is false, because, by definition, supplementary angles add up to 180 degrees. The interior angles of a triangle add up to 180 degrees. There are 3 interior angles in a triangle; therefore no two angles in a triangle can ever be supplemental whether it is a right triangle or not.