Find the sum of the measures of the interior angles of the figure.
The figure is a regular hexagon, show the work to find this answer.
A regular hexagon has 6 sides, so it also has 6 angles. In a regular polygon, all angles are congruent, so to find the measure of each interior angle, we divide the sum of the interior angles by the number of angles.
The sum of the interior angles of any polygon can be found using the formula:
Sum = (n−2) * 180°
where n is the number of sides.
For a hexagon, n = 6, so we can substitute it into the formula:
Sum = (6−2) * 180°
= 4 * 180°
= 720°
So, the sum of the measures of the interior angles of a regular hexagon is 720°.