Question

Can a polygon have 15 faces, 30 edges and 20 vertices ? Solve using
Euler’s formula.​

Answer 1

Euler's formula : F+V-E=2 / F + V = E + 2

Given that ,

faces = 15

edges = 30

vertices = 20

Let us now verify it using Euler's formula ....

LHS : F + V - E

15 + 20 - 30

35 - 30

5

RHS : 2

LHS ≠ RHS

✓ Hence , a polygon can't have 15faces , 30edges and 20vertices .