Question

How do you find the sum of the interior angle measures in hexagon?

Answer 1

Applying the angle sum formula to find the sum:

The angle sum of this polygon for interior angles can be determined by multiplying the number of triangles by 180°. If a convex polygon has n sides, then the sum of its interior angle is given by the following formula:

$S=(n-2)\times 180°$

A hexagon has six sides. Therefore, by the angle sum formula,

Here,$n=6$

Hence, the sum of angles of hexagon = $(6-2)\times 180°$

$S=4\times 180°$

$S=720°$

Hence, the measure of each interior angle of a regular hexagon is $720°$