How To Calculate An External Angle’S Degrees?

The exterior angles of a triangle can be found using formulas based on their properties. Each exterior angle equals 180 – the interior angle, and in a regular polygon, it is formed by extending one side of the polygon between the extension and adjacent side. The exterior angle of a polygon is the angle formed between one side of a polygon and the extended adjacent side.

The exterior angle theorem states that an exterior angle of a triangle equals the sum of its remote interior angles. In a regular polygon, the exterior angle can be found by dividing 4 right angles by the number of sides, which equals 360 degrees. Each exterior angle equals 180° – the interior angle.

To calculate the measure of an exterior angle, identify the measures of the two interior angles opposite the exterior angle in question and add them. The formula to calculate the measure of an exterior angle is: exterior angle of polygon = 360° ÷ number of sides = 360°/n.

In summary, the exterior angles of a triangle are determined by extending any side of the triangle and adding the measures of the two remote interior angles. This method can be applied to find missing or missing interior or exterior angles in a given triangle.