Question

What is the sum of all interior angles of a regular heptagon?

Answer 1

Determine the sum of all interior angles of a regular heptagon.

If a convex polygon has $n$ sides, then the sum of its interior angle is given by the following:

$S=(n-2)\times 180°$

Side in heptagon is $7$

Calculate the Interior angles of the heptagon:

$$\begin{gathered} S=(7-2)\times 180° \\ \Rightarrow S=5\times 180° \\ \Rightarrow S=900° \end{gathered}$$

Hence, the measure of each interior angle of a regular heptagon is $S=900°$