Question

The supplement of an acute angle is .................

Answer 1

The supplement of an acute angle is an obtuse angle.

Explanation:

As the sum of the supplementary angles is.

Let one of the angle measures, such that

Let the other angle measures

As the angles are supplementary there sum is.

Then, other angle y is clearly an obtuse angle.

Illustration:

Let the given acute angle be

Then, the other angle becomes

This is clearly an obtuse angle.