Thanks @Hira Thakur For the answer #suryavansham #poisonedKheer

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Given: For a planner graph $G$

- Number of vertices $(V)= 8$
- Number of region/faces $(R/f)=5$
- Number of edges $(E)=?$

For any planner graph $V+F=E+2$

$\implies 8+5=E+2$

$\implies E=13-2=11$

$\therefore$ Number of edges in given graph $G$ is $11.$

Ref: Planar_graph