Respuesta :

To find:

The value of angle DOB.

Solution:

It is known that the sum of all angles on straight lines is 180 degrees.

Here, all the three angles are on straight lines. So, the sum of all angles is equal to 180 degrees. So,

[tex]\begin{gathered} \angle AOC+\angle COD+\angle DOB=180 \\ n+108+2n=180 \\ 3n+108=180 \\ 3n=180-108 \\ 3n=72 \\ n=\frac{72}{3} \\ n=24 \end{gathered}[/tex]

So, the value of angle DOB is:

[tex]\begin{gathered} 2n=2(24) \\ =48 \end{gathered}[/tex]

Thus, the value of angle DOB is 48 degrees.

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