Question

Half of an obtuse angle is _______.

• A. always an obtuse angle
• B. never an acute angle
• C. always an acute angle
• D. a straight angle

Answer 1

The correct option is C always an acute angle

We know that obtuse angles are greater than 90${}^{\circ }$ and less than 180${}^{\circ }$.
So, half of these angles will always be greater than $(\frac{90}{2}{)}^{\circ }$ degrees and less than $(\frac{180}{2}{)}^{\circ }$ degrees. That is, half of an obtuse angle will always be greater than 45${}^{\circ }$ and less than 90${}^{\circ }$.
The angles which are less than 90${}^{\circ }$ are called acute angles and hence half of an obtuse angle is always an acute angle.