Answer:
B. Sometimes.
Step-by-step 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- [tex]120^{\circ}, 60^{\circ}[/tex].
Since 180 degrees is an obtuse angle, therefore, option C is not a correct choice.
