It has four right angles 90. The sum of the exterior angles of any polygon is 360 degrees.

Interior And Exterior Angles Of Triangles Notes Interior And

The sum of exterior angles of a polygon is 360.

Interior and exterior angles. Interior angle of a polygon sum of interior angles number of sides. Exterior angle of a polygon 360 number of sides. Quadrilaterals are 2d shapes with four sides and angles.

The formula for calculating the size of an exterior angle is. If the pair of lines are parallel then the alternate interior angles are equal to each other. The formula for calculating the size of an interior angle is.

The formula tells you the sum of the interior angles of a polygon where n represents the number of sides. At the top of our triangle we have three angles based around our line. The interior angles of a shape are the angles inside the shape.

In the picture on the right the red angles are the interior angles of the triangle and the blue angles are the exterior angles. The remote interior angles are just the two angles that are inside the triangle and opposite from the exterior angle. Then if you draw on extensions to the side lengths of each shape the exterior angles are the angles form between a side length and an extension.

The exterior angle is the angle between any side of a shape and a line extended from the next side. Together the adjacent interior and exterior angles will add to 180. Below are two parallel lines.

An interior angle of a polygon is an angle inside the polygon at one of its vertices. Since you are extending a side of the polygon that exterior angle must necessarily be supplementary to the polygon s interior angle. In a triangle each exterior angle has two remote interior angles.

For our equilateral triangle the exterior angle of any vertex is 120. When a line called a transversal intersects a pair of lines alternate interior angles are formed on opposite sides of the transversal. A square has four sides of equal length.

Interior and exterior angles. For a square the exterior angle is 90. A polygon is simply a shape with three or more sides and angles.

An exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side. There are six special quadrilaterals with different properties. The sum of the interior angles is always 180 degrees.

An exterior angle of a triangle or any polygon is formed by extending one of the sides. Angle q is an interior angle of quadrilateral quad. When we add up the interior angle and exterior angle we get a straight line 180.

Let s add a triangle between them. In other words a b c 180 degrees. Let s label them x y and z.