Hi! I'm happy to help!
For our equation, we need to find out what our two smaller equations are.
We can see that angle HGF is our largest angle, and it is composed of EGF, and HGE. We can insert our values into an equation to solve:
16x+4=110+3x+11
We can then combine like terms:
16x+4=121+3x
To solve for x, we need to put it by itself on one side of the equation. So, let's subtract 4 from both sides:
16x=117+3x
Now, let's subtract 3x from both sides:
13x=117
Now, let's divide both sides by 13 to solve for x:
x=9
Now, we know that x=9.
I hope this was helpful, keep learning! :D