exterior angle
An angle formed by one side of a polygon and the extension of an adjacent side
An exterior angle is an angle formed on the exterior of a polygon by extending one of its sides. For example, if we have a triangle, we can extend one of its sides and form an exterior angle at the point of extension. The exterior angle is the angle formed between the extension of the side and the adjacent side of the triangle.
The measure of an exterior angle of a polygon is always equal to the sum of the measures of its two remote interior angles. In other words, if we have a polygon with n sides, we can find the measure of each exterior angle by dividing 360 degrees (the total measure of all exterior angles of any polygon) by n.
For example, in a regular pentagon, each exterior angle measures 72 degrees (360 degrees / 5 sides). We can use this information to find the measure of each interior angle by subtracting the exterior angle from 180 degrees. In this case, each interior angle of the regular pentagon measures 108 degrees (180 degrees – 72 degrees).
The concept of exterior angles is important in geometry, especially in the study of congruent figures and parallel lines.
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