How To Calculate Each Angle’S Exterior Angle Given?

The exterior angle of a triangle is determined by the sum of its opposite interior angles. A triangle has six exterior angles, with two at each vertex equal in measure. These angles always sum up to 360°. The exterior angle inequality theorem states that the measure of any exterior angle of a triangle is greater than each of the opposite interior angles. This holds true for all six exterior angles of a triangle.

The exterior angle of a regular polygon is formed by extending one side of the polygon between the extension and adjacent side. To calculate the measure of an exterior angle, use the formula: exterior angle of polygon = 360° ÷ number of sides = 360°/n.

The exterior angle of a regular polygon is calculated by adding the measures of the two remote interior angles (x and y) of the triangle. To find the exterior angle, identify the measures of the two interior angles opposite the exterior angle in question and add the two interior angle measurements identified.

In summary, the exterior angle of a triangle is determined by the sum of its opposite interior angles. For a regular polygon, the sum of all exterior angles is equal to one circle, and understanding how to calculate the sum of exterior angles for a polygon is essential for solving problems.