We have here that all of these angles must sum 360 degrees since we have here a circle. Then, we have that:
[tex]2x+88+8x-94+x+79+78=360[/tex]
Now, to solve this equation, we need to group and sum the like terms:
[tex]2x+8x+x+88-94+79+78=360_{}[/tex][tex]11x-6+157=360\Rightarrow11x+151=360[/tex]
To isolate 11x, we need now to subtract 151 to both sides of the equation:
[tex]11x+151-151=360-151\Rightarrow11x=209[/tex]
Divide both sides of the equation by 11:
[tex]\frac{11x}{11}=\frac{209}{11}\Rightarrow x=19[/tex]
We can check this solution if we substitute the value x = 19 in the original equation (after the simplification process):
[tex]11x+151=360\Rightarrow11\cdot(19)+151=360\Rightarrow209+151=360\Rightarrow360=360[/tex]
Since the last result is TRUE, then the value for x = 19 is the correct solution.
In summary, the value for x = 19.
