Answer:
The polygon has six (6) sides.
Step-by-step explanation:
We recall that the formula for the sum of the interior angles in a polygon is:
180° (n - 2)
Where n = number of sides
Since from the sum of the interior angles of the polygon is 720°
Then:
720° = 180° (n - 2)
We then solve for n
Divide both sides by 180°
720°/180° = 180° (n - 2)/180°
4 = n - 2
n = 4 + 2
n = 6
Therefore the number of sides of the polygon is 6 making it a hexagon.
