The exterior angle of a triangle is the angle between any side of a shape and a line extended from the next side. It is calculated by adding up the interior and exterior angles, resulting in a straight line. The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
One exterior angle can be determined by dividing the sum of the interior angles by the number of sides. For example, for a triangle with N sides, the measure of an exterior angle is equal to 360oN. 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 equal to 360°.
The sum of all exterior angles of any polygon is 360 degrees, and an exterior angle of a polygon is the angle between the two adjacent sides. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.
In summary, the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of a triangle. This formula can be used to find the size of an exterior angle in a polygon, as well as other related concepts.
📹 How To Calculate The Interior Angles and Exterior Angles of a Regular Polygon
This geometry video tutorial explains how to calculate the interior angles and the exterior angles of a regular polygon. Examples …
📹 Exterior Angle Theorem For Triangles, Practice Problems – Geometry
This geometry video tutorial provides a basic introduction into the exterior angle theorem for triangles. It explains how to use it …
Add comment