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Exterior angles of a quadriltaeral add up to 1080° , each exterior angle is equal to the interior angle subtracted from 360°. The formula for checking sums of interior angles of any multilateral figure is (n-2)*180°, hence a quadilateral has 4 sides (n) (4-2)*180°=360°
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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.
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.
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.
How many angles does a trapazoid have?
Four interior ones and four exterior ones ... just like any other quadrilateral.
How many ways can you find the sum of measures of the exterior angles of a polygon?
The sum of a regular polygons exterior angles always = 360
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 in a Quadrilateral?
The sum of exterior angles in a Quadrilateral, and indeed in any concave polygon is 360 degrees.
What is each exterior angle measure of a regular quadrilateral?
The sum of the exterior angles of a polygon equals 360.Quadrilateral has 4 exterior angles.360/4=90 for a regular quadrilateral.
What do exterior angles in a quadrilateral add up to?
360
What is sum of interior and exterior angles of a concave quadrilateral?
-- 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.
What is the sum of the measure of the exterior angles of a quadrilateral?
The sum is two straight angles or 360 degrees.
What type of regular polygon has equal interior and exterior angles?
A quadrilateral.
What is the measure of one of the exterior angels of the regular quadilateral?
I think you are talking about angles, so here it is: A quadrilateral has 4 angles that add up to 360°. You have to know the interior angle to find the exterior, or vice versa.
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 is the sum of exterior angle of a quadrilateral?
1080 degrees (an average of 270 degrees, times the four angles).
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.
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
