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

The angle sum of this polygon for interior angles can be determined on 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) × 180°

This is the angle sum of interior angles of a polygon.

Interior angles of hexagon

A hexagon has&nbsp six sides.

Therefore, by the angle sum formula we know;

S = (n − 2) × 180°

Here, n = 6


Sum of angles of hexagon = (6 − 2) × 180°

S = 4 × 180°

S = 720°

Hence, the measure of each interior angle of regular hexagon = S = 720°

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