Question

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

Answer 1

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:

$8x=16x-64$

Combine like terms:

$-8x=-64\\x=8$

Therefore, x = 8.

I hope this helps!