miayah48 miayah48
  • 21-10-2021
  • Mathematics
contestada

What is the value of x if OB is
an angle bisector of

What is the value of x if OB is an angle bisector of class=

Respuesta :

theleangreenbean
theleangreenbean theleangreenbean
  • 21-10-2021

Answer:

x = 8

Step-by-step explanation:

Hi there!

We're given that OB is the angle bisector of angle AOC.

An angle bisector splits an angle into 2 equal halves. Therefore, angles AOB and BOC are equal.

We're given that angle AOB is 8x degrees and angle BOC is 16x-64 degrees.

Set up an equation:

[tex]8x=16x-64[/tex]

Combine like terms:

[tex]-8x=-64\\x=8[/tex]

Therefore, x = 8.

I hope this helps!

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