How To Determine A Quadrilateral’S Outside Angles?

The interior angles of a quadrilateral are the angles that lie inside the square or rectangle, and their sum is 360°. This helps in calculating unknown angles of a quadrilateral. In a square or rectangle, all its interior angles are 90° each. To determine one exterior angle, one can use the formula 360°/n, where n is the total number of sides.

The exterior angle of a regular polygon is formed by extending one side of the polygon between the extension and adjacent side. The Exterior Angle Theorem states that an exterior angle of a triangle is equal to the sum of its remote interior angles. The sum of exterior angles of a quadrilateral is 360 ∘.

To calculate the size of an exterior angle, one can use the formula: exterior angle of a polygon = 360 ÷ number of sides. Symmetry is essential when finding the interior and exterior angles of a quadrilateral. An exterior angle is formed by the intersection of any of the sides of a polygon and the extension of the adjacent side of the chosen side.

In summary, the interior and exterior angles of a quadrilateral are supplementary and always add up to 180°. The measure of each exterior angle in any regular polygon is 360°/n, where n is the number of sides.