How To Calculate A Quadrilateral’S Exterior Angle?

The interior angles of a quadrilateral are the angles that lie inside the shape, and the sum of these angles is 360°. This property helps in calculating unknown angles of a quadrilateral. In a square or rectangle, all interior angles are 90° each. The sum of all four interior angles is 360°, which can be obtained by subtracting the interior angle.

The sum of all exterior angles of any polygon is 360 degrees, and an exterior angle is the angle between a side and its adjacent extended side. Three quadrilateral area formulas are used to find the area given diagonals and angles between them, bimedians and angles between them, or all sides and two opposite angles.

Exterior angle = 180° – Interior angle is used when an interior angle of a quadrilateral is known and the value of the corresponding exterior angle is required. In a regular quadrilateral, the measures of each exterior angle in any regular polygon are 360°/n, where n is the number of sides. In the given quadrilateral, the measures of the exterior angles are 2x°, 4x°, 5x°, and 7x°.

In any given polygon, whether there are 3 or 16 sides, the sum of all exterior angles is always 360∘. The four angles in any quadrilateral always add to 360∘, 360 ∘, 360^(circ), and 360∘. The measures of the exterior angles of a quadrilateral are x°x°, 2x°2x°, 4x°4x°, and 5x°5x°.

To help GCSE Maths students learn how to find the interior and exterior angles of quadrilaterals, examples, solutions, and videos are provided.