The IUPAC name of the compound is :-
1, 6-Dimethylcyclohex-1-ene
Here,
The parent chain is cyclic and has 6 carbons in it.
Therefore,
Word Root ⇒ hex
Prefix⇒ Cyclo
Now, to find out the positions of methyl groups, There are two options if you look at it.
But we cannot use (I) because if we open the cyclic compound, the double bond will be on 1 and 6.