Respuesta :

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

Ver imagen KalliopiY319569
Ver imagen KalliopiY319569
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