5.1-5.2 Angle sum of Polygons

The sum of the interior angles of a polygon can be calculated using the formula: $$(n-2) \times 180$$ , where n is the number of sides.

'n' represents the number of sides of the polygon.

A regular polygon with an interior angle of 60 degrees has 3 sides (it is a triangle).

The sum of the interior angles of a 35-gon is $$5940°$$ .

Each interior angle in a regular hexagon measures $$120°$$ .

The measure of an exterior angle of a regular polygon can be found using the formula: $$\frac{360}{n}$$ , where n is the number of sides.

The interior and exterior angles of a polygon are supplementary, meaning they add up to $$180°$$ .

The sum of the interior angles of an 8-sided polygon (octagon) is $$1080°$$ .

The measure of the missing angle X is $$70°$$ .

The sum of the interior angles of a quadrilateral is $$360°$$ .