Question 12! I cannot figure it out, this is all the information I am given!

Given:
There is a diagram given as below and also angle AOD is 8 times the angle BOC
Required:
We need to find the angle AOD
Explanation:
Here right angle AOC is rotate same as measure BOC
So the AOD is
[tex]\angle AOD=180-\angle BOC[/tex]Now we have angle AOD is 8 times the angle BOC
by this
[tex]8\angle BOC=\angle AOD[/tex]substitute the value in above equation
[tex]\begin{gathered} 8\angle BOC=180-\angle BOC \\ 9\angle BOC=180 \\ \angle BOC=20 \end{gathered}[/tex]But here we need angle AOD so put the value of angle BOC in 2nd equation
[tex]\begin{gathered} 8(20)=\angle AOD \\ 160=\angle AOD \end{gathered}[/tex]Final answer:
160 degree