smithrenaoypba0
smithrenaoypba0 smithrenaoypba0
  • 08-04-2020
  • Mathematics
contestada

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°​

Respuesta :

calculista
calculista calculista
  • 13-04-2020

Answer:

Option в. 42°

Step-by-step 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

[tex]m\angle ABD=m\angle DBC[/tex]

[tex]m\angle ABD=\frac{1}{2} m\angle ABC[/tex]

substitute the given value

[tex]m\angle ABD=\frac{1}{2} (84^o)=42^o[/tex]

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