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Exterior angles of a polygon are formed with its one side and by extending its adjacent side at the vertex. Learn in detail angle sum theorem for exterior angles and solved examples.
- 3 min
May 16, 2024 · For a regular polygon (a polygon with all sides and angles equal), the exterior angle can be calculated using the formula: Exterior Angle = 360°/n Where n is the number of sides of polygon.
- Exterior Angles of A Regular Polygon
- Exterior Angles of An Irregular Polygon
- Topics Related to Exterior Angles of A Polygon
A regular hexagon has 6 sides and 6 angles. Let us assume that each exterior angle of the hexagon is equal to 'k'. Let us imagine a circle that is starting at a point(labeled as a starting point) and is going to reach the same place again. It has to travel along the boundary or the outline of the hexagon to reach again to the starting point. In thi...
An irregular polygon has sides and angles of different measures. Let us take a look at the figure in which a quadrilateral has 4 unequal sides and angles. As in the case with a regular polygon, an irregular polygon also has exterior angles that add up to 360°. Each exterior angle in an irregular polygon also is (180° - its linear pair). Thus in the...
Example: What are the interior and exterior angles of a regular hexagon? A regular hexagon has 6 sides, so: Exterior Angle = 360° / 6 = 60° Interior Angle = 180° − 60° = 120°
The Exterior Angle is the angle between any side of a shape, and a line extended from the next side. Another example: When we add up the Interior Angle and Exterior Angle we get a straight line 180°. They are "Supplementary Angles". Polygons. A Polygon is any flat shape with straight sides. The Exterior Angles of a Polygon add up to 360°
The sum of the exterior angles of a polygon is 360^{\circ} and each exterior angle is equal because it is a regular polygon. The sum of an interior and an exterior angle is 180^{\circ}. Use the known information and any correct formula to solve.
May 23, 2023 · The angle between a side of a polygon and an extended adjacent side gives an exterior angle of a polygon. It is an angle formed by a transversal as it cuts one of two lines and is situated on the outside of the line.
