If the sum of the interior angles of a polygon is 720°, what type of polygon is it?
Please read the explanation.
Sum of the interior angles of a polygon is:
The relationship between the number of sides of a polygon and the sum of interior angles is
Hence, we have
Divide both sides of the equation by
Hence, the required polygon must have 6 sides.
A Hexagon is a six-sided polygon.
Hence, the type of polygon required is a Hexagon.
If you are interested, you can find an image of a regular hexagon below:
Hope it helps.