Question

In this figure,BC is a perpendicular bisector of KJ. DM is the angle bisector of
A.)30
B.)90
C.)45
D.)60

Answer 1

The answer is C because it’s an acute angle

Answer 2

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 $\angle CDJ=90$

Similarly, $\angle JDB=90$

The angle JDB is bisected by the line DM

Then the angle measure of $\angle JDM= \angle BDM = \frac{90}{2}$

⇒ $\angle JDM= \angle BDM =45$

Hence we can conclude that DM is the angle bisector of option (C) 45° is the correct answer.

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