Question

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

Answer 1

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

$\angle AOD=180-\angle BOC$

Now we have angle AOD is 8 times the angle BOC

by this

$8\angle BOC=\angle AOD$

substitute the value in above equation

$\begin{gathered} 8\angle BOC=180-\angle BOC \\ 9\angle BOC=180 \\ \angle BOC=20 \end{gathered}$

But here we need angle AOD so put the value of angle BOC in 2nd equation

$\begin{gathered} 8(20)=\angle AOD \\ 160=\angle AOD \end{gathered}$

Final answer:

160 degree