How To Use Geometry To Get Outside Angles?

The exterior angle of a triangle is the angle formed between any side of a shape and a line extended from the next side. It is equal to 180 degrees, or 360 degrees. The sum of the exterior angles of a polygon is always equal to 360 degrees. To find the value of the exterior angle of a triangle, one can calculate the sum of interior opposite angles, which are equal to 180 degrees.

Exterior angles are formed with one side of a polygon and by extending its adjacent side at the vertex. Two important theorems involving exterior angles are the Exterior Angle Sum Theorem and the Exterior Angle Theorem. The Exterior Angle Sum Theorem states that the exterior angles of any polygon are equal to the sum of the interior opposite angles.

To find the exterior angle, one must first identify the measures of the two interior angles opposite the exterior angle in question. Then, they must be added together. The formula to calculate the measure of an exterior angle is: exterior angle of polygon = 360° ÷ number of sides = 360°/n. Divide 360° by the number of sides.

The sum of the exterior angles of a polygon is always 360° in a Cartesian plane. If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle.

In GCSE maths, it is essential to know how to calculate the sum of exterior angles for a polygon, a single exterior angle, and use this knowledge to solve problems. The sum of the exterior angles of a regular polygon with N sides is equal to 360^o/N.