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-- 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.

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Q: What is sum of interior and exterior angles of a concave quadrilateral?
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Related questions

Is a concave quadrilateral less than 180 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.


What is the sum of the Exterior angles in a Quadrilateral?

The sum of exterior angles in a Quadrilateral, and indeed in any concave polygon is 360 degrees.


Is a kind of quadrilateral one of whose angles has an interior point which is not in the interior of the quadrilaterals?

A concave quadrilateral


What type of regular polygon has equal interior and exterior angles?

A quadrilateral.


How do you find the sum of the measures of the angles of a quadrilateral?

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.


What polygon does the sum of the measures of interior angles equal the sum of the measures of 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


Does a quadrilateral's angles have to add up to 360?

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.


How many interior angles in a quadrilateral?

There are 4 interior angles in a quadrilateral


What is the exterior angles in quadrilateral?

The 4 exterior angles of any quadrilateral add uo to 360 degrees


What is the sum of the exterior angles of an octagon?

360 degress which is the same as the sum of the interior angles of a quadrilateral. 360 + 8 x 180 = 1800°


A quadrilateral has angles whose measurements total how many degrees?

The interior angles sum to 360 degrees; the exterior angles also sum to 360 degrees.


Interior and exterior angles of triangles?

Interior angles are 180 degrees Exterior angles are 360 degrees