Question

True or False

It is possible to have complementary angles where one is acute and one is obtuse.
Explain why or why not.

Answer 1

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.

Explanation: