Question

If angles are supplementary, then one of the angles is an obtuse angle. always sometimes never

Answer 1

 the answer should be "sometimes "

Answer 2

B. Sometimes.

Explanation:

We have been given a statement. We are asked to choose the option that is true for our given statement.

Statement:

If angles are supplementary, then one of the angles is an obtuse angle.

A. Always.

We know that two 90 degree angles are supplementary to each other. We know that a right triangle is not an obtuse angle, therefore, option A is not a correct choice.

B. Sometimes.

Since supplementary angles are not necessarily right angles always, one angle could be obtuse and one could be acute, therefore, option B is the correct choice.

C. Never.

We know that when an obtuse angle and an acute angle add up-to 180 degrees, they are supplementary, ex-
`120^(\circ), 60^(\circ)`.

Since 180 degrees is an obtuse angle, therefore, option C is not a correct choice.