An obtuse angle is one that has a value that is greater than [tex]90^{o}[/tex], but less than [tex]180^{o}[/tex]. Thus an obtuse angle XBK can be produced by rotating ray BK at a required angle to its initial position, using point B as the center.
Angles are generated whenever two or more line segments meet. Some of these angles may have the same properties or different properties. Examples are right angle, obtuse angle, acute angle, etc.
A right angle is one with a measure of [tex]90^{o}[/tex].
An obtuse angle is one that has a value that is greater than [tex]90^{o}[/tex], but less than [tex]180^{o}[/tex]. Thus its values range between [tex]90^{o}[/tex] and [tex]180^{o}[/tex].
An acute angle has a measure less than [tex]90^{o}[/tex].
Considering the given question, points X, B, and K are points on line segment XK. Such that to create an obtuse angle XBK, ray BK should be rotated at an angle to its initial position.
For more clarifications on obtuse angle properties, visit: https://brainly.com/question/6209004
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