Angle Sum Property of a Quadrilateral A quadrilateral is a polygon with four sides and four angles. The sum of the angles in a quadrilateral is always 360 de...
A quadrilateral is a polygon with four sides and four angles. The sum of the angles in a quadrilateral is always 360 degrees. This means that if you take the total angle measure of a quadrilateral, you will always get 360.
Examples:
A quadrilateral with four right angles has 360 degrees of angle sum.
A quadrilateral with two right angles and two equal angles has 360 degrees of angle sum.
A quadrilateral with one right angle and three equal angles has 360 degrees of angle sum.
The angle sum property can be applied to any quadrilateral, regardless of its size or shape. This property can be used to prove other theorems about quadrilaterals, such as the fact that a quadrilateral is convex (all its angles are acute) if and only if the sum of its angles is 360