What Is A Regular Square’S Outer Angle?

The exterior angles of a polygon are formed by its one side and by extending its adjacent side at the vertex. The sum of exterior angles in a polygon equals 360 degrees, which is the same as the sum of interior and exterior angles in a regular polygon.

Exterior angles are found outside or external to any geometric shape, such as equiangular polygons. For example, the exterior angle of a regular hexagon is (frac(360^ circ)6 = 60^ circ), while the interior angle of a regular hexagon is (180^ circ – (text(exterior angle)) = 120^ circ).

For any regular polygon, the sum of exterior angles is always 360°360°, and this property can be used to find either the interior angle or exterior angle at a vertex. An interior angle is the angle formed within the enclosed surface of the polygon by joining the sides.

A square is a quadrilateral only, and as per the angle sum property of quadrilateral, the sum of all its interior angles is 360°. Each interior angle in a square is equal to 90° and each exterior angle = 90°.

A regular polygon has equal exterior angles of 72°. To calculate the size of each interior angle in a regular polygon, subtract the exterior angle from the measure of each exterior angle. The measure of each interior angle in a regular polygon is 360°/n, where n is the number of sides.

In conclusion, the exterior angles of a polygon are formed by one side and the extension of its adjacent side. They can be used to solve problems and are essential for understanding the properties of polygons.