How To Calculate A Quadrilateral’S Outside Angles?

The exterior angle of a quadrilateral is calculated using the formula: 360 – (Sum of the other 3 interior angles). If three angles of a quadrilateral are known, then the fourth angle can be calculated using the formula: 360 – (Sum of the other 3 interior angles). The sum of interior angles of a quadrilateral is 360°, which helps in calculating unknown angles. In case of a square or rectangle, all its interior angles are 90° each.

The exterior angle is the angle between any side of a shape and a line extended from the next side. In a regular polygon, the exterior angle is formed by extending one side of the polygon, between the extension and adjacent side. 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 quadrilateral are equal to 180°.

To find the interior and exterior angles of a quadrilateral, use the formula: Exterior Angle = 180° – Interior Angle. This formula is used when an interior angle of a quadrilateral is known and the value of the corresponding exterior angle is required. The sum of exterior angles of a quadrilateral is 360 ∘.

In summary, the exterior angle of a quadrilateral is calculated by dividing 360 by the number of sides. It is essential to know the sum of interior angles and the formula to find the correct exterior angle for a given polygon.