Given: For a planner graph $G$
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
Thanks @Hira Thakur For the answer #suryavansham #poisonedKheer
Euler’s formula for a planar graph:
V-E+F=2
Where, V=#vertices
E=#edges in graph
F=#faces in graph.
Given:
V=8 F=5
So,8-E+5=2
This implies E=11
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