Question

A polygon has 12 vertices and 4 faces. Find the number of edges of this polygon.

• A. 8
• B. 12
• C. 14
• D. 16

Answer 1

The correct option is C 14

According to Eulers formula;
$V-E+F=2$
where,
$V:\text{vertices of the polygon}$
$E:\text{edges of the polygon}$
$F:\text{faces of the polygon}$

Here $V=12\&F=4$
Apply these values in the equation

$12-E+4=2$
$⟹E=14$

$\therefore$ No. of edges of the polygon $=14$