The exterior angle of a triangle is the angle formed between a side and its adjacent extended side. It is equal to the sum of its remote interior angles, which are the two interior angles in a triangle that are not the exterior angle. The sum of exterior angles of a polygon is 360 degrees.
To find the exterior angles of any polygon, including hexagons, use the formula 360°/n, where n is the number of sides. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.
For every regular polygon with n sides, each exterior angle of a regular polygon of n sides is equal to 360° / n. To calculate the measure of an exterior angle, one needs to divide 360 by the number of sides or subtract the value of an interior angle from 180.
The sum of exterior angles is 180° × (n-2), and each interior angle of a regular polygon with n sides is equal to 180(n-2)n or 180n−360n. Each exterior angle of a regular polygon with n sides is equal to the sum of interior opposite angles.
In summary, the exterior angle of a triangle is calculated using various formulas based on the interior angles. The sum of exterior angles of a polygon is 360 degrees, and the total sum of these angles is 360 degrees.
📹 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