Question

Angles of PolygonsA dining table is in the form of a regular hexagon. What is the sum of all the interior angles of the table?A. 720⁰B. 900°C. 1080°D. 1200°

Answer 1

Step-by-step explanation:

Given;

We are told that a dining table is in the form of a regular hexagon.

Required;

We are required to calculate the sum of all the interior angles of the dining table.

Step-by-step solution;

For a regular hexagon, we know that there are six sides and also 6 vertices. Being described as a regular hexagon means all six sides are equal and all six angles are equal too.

To calculate the sum of the interior angles of a regular polygon, we will apply the formula below;

`S_n=(n-2)180`

Therefore for a six-sided polygon, we would now have;

`\begin{gathered} S_6=(6-2)180 \\ \\ S_6=4*180 \\ \\ S_6=720\degree \end{gathered}`

Therefore,

ANSWER:

Option A is the correct answer.

`720\degree`