The 4 exterior angles of any quadrilateral add uo to 360 degrees
The sum of exterior angles in a Quadrilateral, and indeed in any concave polygon is 360 degrees.
The sum of the exterior angles of a polygon equals 360.Quadrilateral has 4 exterior angles.360/4=90 for a regular quadrilateral.
360
-- The sum of exterior angles of any polygon is 360 degrees.-- The sum of interior angles of any quadrilateral, no matter what shape, is 360 degrees.-- 360 + 360 = 720 degrees.
The sum is two straight angles or 360 degrees.
A quadrilateral.
1080 degrees (an average of 270 degrees, times the four angles).
I don't know if you'd say they "have to", but they always do. The interior angles do, and so do the exterior angles.
A 4 sided quadrilateral has interior angles that add up to 360 degrees and its exterior angles add up to 360 degrees
The sum of the interior angles of a quadrilateral is 360 degrees (not 180). The sum of the exterior angles is also 360 degrees. Whether the quadrilateral is convex or concave is not relevant.
I'm not sure if you mean interior or exterior angles, so I'll give you an answer for both.For interior angles:The sum of the measures of the *interior* angles of a quadrilateral is always 360 degrees. To understand why this is true, recall that the sum of the interior angles of a triangle is 180 degrees. Now, in any quadrilateral, we can draw a diagonal, splitting it into two triangles.So, the sum of the interior angles of the quadrilateral will be the sum of all of the interior angles of the two triangles, in other words, 2x180.In general, an n-gon can be divided into n-2 triangles, so the sum of the interior angles of an n-gon is 180x(n - 2) = 180xn - 360For exterior angles:The sum of the exterior angles of any closed, convex figure will be 360 degrees. So, if the quadrilateral is convex (isn't bent inwards) the sum of the exterior angles will be 360 as well.
The interior angles sum to 360 degrees; the exterior angles also sum to 360 degrees.