Answer:
30
Firstly, identify all the pairs of vertically opposite angles. Vertically opposite angles are equal.
In this case,
AOC & DOB are vertically opposite angles so both of them are 2x°
EOD & COF are vertically opposite angles so they are both 3x°.
FOB & EOA are vertically opposite angles so they are both x°.
Adding the values of all 6 angles, we get:
3x + 3x + 2x + 2x + x + x = 12x
We also know that
12x = 360°
x = 30°