Question

What is the sum of all angles of a hexagon?

• A. $180°$
• B. $360°$
• C. $540°$
• D. $720°$

Answer 1

The correct option is D

$720°$

Determine the sum of all angles of a hexagon.

The sum of all the interior angles of a regular $n-\mathrm{gon}$$=(n-2)\times 180°$ Or $\mathrm{Sum}=(n-2)\pi \mathrm{radians}$

Where ‘$n$’ is the number of sides of a polygon.

Hexagon has $6$ sides, i.e.$n=6$

Sum of all angles of a hexagon:

$$\begin{gathered} (n–2)\times 180°=(6–2)\times 180° \\ \Rightarrow (n–2)\times 180°=4\times 180° \\ \Rightarrow (n–2)\times 180°=720° \end{gathered}$$

Hence, the correct choice is “Option d”.