Interior Angles Of A Triangle Definition

See exterior angles of a polygon.

Interior angles of a triangle definition. The interior angles of a triangle always add up to 180 because the interior angles always add to 180 every angle must be less than 180. The angles which lie inside a triangle are known as interior angle of triangles while the angles formed outside the triangle by extending the adjacent sides are known as exterior angles of triangles. In the figure above drag the triangle s vertices and see that this is so.

It means that the sum of the interior angles of a triangle is equal to 180. In this triangle below angles a b and c are all interior angles. A triangle is simply a polygon that has 3 sides.

In contrast an exterior angle is an angle formed by one side of a. For a simple polygon regardless of whether it is convex or non convex this angle is called an interior angle if a point within the angle is in the interior of the polygon. If the equivalent angle is taken at each vertex the exterior angles always add to 360 in fact this is true for any convex polygon not just triangles.

If every internal angle of a simple polygon is less than 180 the polygon is called convex. Angles a b and. An exterior angle of a triangle is equal to the sum of the opposite interior angles.

These inside angles are said to be interior angles of the triangle and it will sum up to 180 degrees. The triangle is a two dimensional shape with three inside angles. Since triangles have three angles they have three interior angles.

Interior angle formula from the simplest polygon a triangle to the infinitely complex polygon with n n sides sides of polygons close in a space. In geometry an angle of a polygon is formed by two sides of the polygon that share an endpoint. An interior angle is an angle inside a shape.