Question

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

Answer 1

x = 8

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!