What Are A Quadrilateral’S Internal And Exterior Angles?

The interior and exterior angles of a quadrilateral are the angles that lie inside the shape. The sum of the interior angles of a quadrilateral is 360°, which helps in calculating the unknown angles of a quadrilateral. In a square or rectangle, all its interior angles are 90° each. In a regular polygon with n sides, the sum of interior and exterior angles is calculated using the formula (red n-2) cdot 180.

The interior and exterior angles of a polygon are related, especially when the polygon is concave. All interior angles add up to 360°, opposite angles are equal (congruent), adjacent angles have a sum of 180°, and the measure of a single interior angle of a regular polygon is determined by calculating the sum interior angles or $$ (red n-2) cdot 180.

The sum of interior and exterior angles of a quadrilateral is 418°, with individual exterior angles being 95°, 61°, 75°, and 71°. The exterior angles of a polygon always add up to 360°, and the interior and exterior angles at a point always add up to 180°. A quadrilateral with the same shape as a triangle has three interior angles, while a quadrilateral such as a square, rectangle, parallelogram, kite, or trapezoid has four interior angles.

In conclusion, the sum of interior and exterior angles of a quadrilateral is 36 0 ∘ 360^ circ 360∘. This information is crucial for understanding the relationship between interior and exterior angles in geometry, particularly when the polygon is concave.