So based on the given figure above, this is how we are going to find for the value of x. Given the values above, we can see that m<AOC serves as the total value of the other angles. So,
m<AOC = M<AOB + m<BOC
Now plug in the given values.
8x + 8 = (4x - 1) + ( 2x + 15)
8x + 8 =6x + 14
8x-6x = 14-8
2x = 6 <<divide both sides by 2 and the result is
x = 3
Therefore, the value of x is 3. Hope this answer helps. Let me know if you need more help next time.