How Are The External Angles Calculated?

The exterior angle of a triangle is the angle formed between one side and the adjacent extended side of the triangle. There are three exterior angles in a triangle, and the sum of the exterior angles is always equal to 360°. In a regular polygon, the exterior angle is formed by extending one side of the polygon between the extension and adjacent side.

The exterior angle of a triangle is equal to the sum of the opposite interior angles. Every triangle has six exterior angles, with two at each vertex being equal in measure. The exterior angles, taken one at each vertex, always sum. To determine one exterior angle, the formula is: one exterior angle = 360°/n, where n is the total number of sides.

To calculate the sum of exterior angles for a polygon, one can subtract the interior angle. For GCSE maths (Edexcel, AQA, and OCR), it is essential to learn how to calculate the sum of exterior angles for a polygon, a single exterior angle, and use this knowledge to solve problems.

The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360° ÷ number of sides = 360°/n. In a regular polygon, the exterior angle can be found by dividing 4 right angles by the number of sides, which equals 360 degrees. To find the size of one exterior angle, divide 360° by the number of sides in the polygon. In a regular polygon, the size of each exterior angle is determined by extending one side of the polygon between the extension and adjacent side.