Question

The measure of /ABC is 84. Ray BD is the angle bisector of /ABC. What is the measure of the

marked angle?
A. 6"
в. 42°
с. 60°
d. 74°​

Answer 1

Option в. 42°

Explanation:

The picture of the question in the attached figure

we know that

If the ray BD is the ange bisector of angle ABC

then

ray BD divide angle ABC into two equal parts

so

`m\angle ABD=m\angle DBC`

`m\angle ABD=(1)/(2) m\angle ABC`

substitute the given value

`m\angle ABD=(1)/(2) (84^o)=42^o`