Question

Decide whether the statement is always, sometimes, or never true.


In a scalene triangle, the exterior angles are all obtuse angles.

Answer 1

Remember that if an interior angle is obtuse, then the corresponding exterior angle is acute and vice versa. So a scalene triangle with three acute angles will satisfy this property, however if the original triangle has an interior angle which is obtuse, then the statement is false, as the corresponding exterior angle will be acute.

Answer 2

The interior angles of a scalene triangle are always all different. The converse of this is also true

Answer 3

thnx. =]