Hello!
Vertical angles are always congruent
This means that 3x - 35 = 130
We can solve this algebraically
3x - 35 = 130
Add 35 to both sides
3x = 165
Divide both sides by 3
x = 55
The angle AOB and AOC are supplementary which means they add to 180
First we have to find what angle AOB equals
3(55) - 35 = 130
We can subtract 180 by this number to get angle AOC
180 - 130 = 50
Angle AOC is 50
The answers are x = 55 and AOC = 50
Hope this helps!
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