Answer: 12
Step-by-step explanation:
We know that the sum exterior angles of a polygons is [tex]360^{\circ}[/tex].
Therefore,according to the given picture , we have
[tex]\angle{GHJ}+\angle{HJG}+\angle{JGH}=360^{\circ}\\\\\Rightarrow\ (9x+6)^{\circ}+(10x-1)^{\circ}+(10x+7)^{\circ}=360\\\\\Rightarrow\ 9x+6+10x-1+10x+7=360\\\\\Rightarrow\ 29x+12=360\\\\\Rightarrow\ 29x=348\\\\\Rightarrow\ x=\dfrac{348}{29}\\\\\Rightarrow\ x =12[/tex]
Hence, the value of x = 12
