A quadrilateral has 360 degrees in total when you add up all its interior angles.
Explanation:
- A quadrilateral has 4 sides.
- The sum of the interior angles of any polygon is given by the formula:
(n−2)×180∘(n-2)\times 180^\circ (n−2)×180∘
where nnn is the number of sides.
- For a quadrilateral, n=4n=4n=4:
(4−2)×180∘=2×180∘=360∘(4-2)\times 180^\circ =2\times 180^\circ =360^\circ (4−2)×180∘=2×180∘=360∘
So, the sum of the interior angles of a quadrilateral is 360 degrees.
