DM is the angle bisector of option (C) 45° is the correct answer.
What is angle bisector?
The (interior) bisector of an angle, also called the internal angle bisector is the ray, line, or segment which divides a given angle into two equal parts.
For the given situation,
The diagram shows the line KJ and the BC is a perpendicular bisector of KJ.
So the angle measure at [tex]\angle CDJ=90[/tex]
Similarly, [tex]\angle JDB=90[/tex]
The angle JDB is bisected by the line DM
Then the angle measure of [tex]\angle JDM= \angle BDM = \frac{90}{2}[/tex]
⇒ [tex]\angle JDM= \angle BDM =45[/tex]
Hence we can conclude that DM is the angle bisector of option (C) 45° is the correct answer.
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