How To Use X To Compute The Outside Angles Of A Convex Polygon?

The sum of exterior angles of a polygon is 360 degrees, and the sum of these angles can be calculated using the exterior angle sum theorem. For example, the sum of the exterior angles of a quadrilateral is (x^(circ)), (2x^(circ)), (3x^(circ)), and (4x^(circ)). To find the measure of each exterior angle for each regular polygon, one must extend one side of the polygon between the extension and adjacent side.

The exterior angle sum theorem states that the sum of the exterior angles of any convex polygon is 360 ∘. If the polygon is regular with n sides, this means that the sum of its interior angles is 180(n-2)°. For example, a hexagon has 6 sides, so its sum of its interior angles is 180(6-2)°, which is equal to 720°.

The sum of the interior angles of a convex polygon is $180(n;-;2)^ circ$. The sum of the exterior angles of a convex polygon is given as $frac(360^ circ)(n)$. A convex polygon is a polygon whose interior forms a convex set, meaning that if any two points on the perimeter of the polygon are connected by a line segment, no point on that is present.

In this video, the author demonstrates how to solve for exterior angles with convex polygons, demonstrating how to solve for variables and apply the exterior angle sum theorem.