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The sum of all (interior) angles must equal 360 degrees

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Q: What is the angle sum rule for all quadrilaterals?
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Why is the angle sum of a trapezoid 360?

Because the angle sum of all quadrilaterals is 360 degrees.


What is the sum of a rhombus angles?

360 because ALL quadrilaterals have an angle sum of 360


What Quadrilaterals equal 360 degrees?

All polygons with four angles (quadrilaterals) have a inner angle sum of 360 degrees.


What is the angle sum of a rhombus and a trapezoid?

Both are quadrilaterals, so the sum of their angles is 360⁰.


What is the sum of all angles of a quadrilaterals?

360 degrees


What is the sum of exterior angle of a quadrilateral?

1080 degrees (an average of 270 degrees, times the four angles).


How many degrees is a trapezoid equal to?

A trapezium is a quadrilateral and, as with all quadrilaterals, its interior angles sum to 360 degrees.


Can you answer which quadrilaterals have their diagonals perpendicular?

The most obvious types of quadrilaterals that have perpendicular diagonals are those with two pairs of adjacent sides the same length - squares, rhombuses, and "kite" shapes.These are all special cases of "orthodiagonal" quadrilaterals. All orthodiagonal quadrilaterals will adhere to the rule that the sum of the squares of the lengths of two opposite (nonadjacent) sides will equal the sum of the squares of the lengths of the other two sides; for successive sides of lengths a, b, c, and d, we have:a2 + c2 = b2 + d2This formula will be true for all orthodiagonal quadrilaterals and any quadrilateral for which this is true will be orthodiagonal (i.e. the diagonals will be perpendicular).


The average angle measure of a trapezoid?

the average angle is acuite w/ obtuse * * * * * An incorrect answer.


Why does all quadrilaterals add up to 360 degrees?

Proof:Draw any quadrilateral. Draw a line from one corner to the opposite corner. This line is called a diagonal and quadrilaterals have two of them. Some quadrilaterals won't have both diagonals completely within the quadrilateral but they all have at least one diagonal with this property. Using this diagonal it is clear to see the quadrilateral is divided into 2 triangles and that adding up all the angles in the triangle will give you the sum of the quadrilateral. Since the angle sum of any triangle is 180 degrees and we have two triangles we have 360 degrees.Generalisation:Any polygon with n corners (called vertices) has n edges. You can take a polygon with n-1 vertices for n>=4 and stick a triangle onto one edge and you increase the angle sum by 180 degrees. So the angle sum of a polygon with n vertices is 180*(n-2) for n>=3.


Why a triagle is always 180 degrees?

That is the angle sum of all three angles. This is a pattern in all polygons. Every time you add a side to a polygon, it's angle sum adds by "180". Since a two sided polygon is not possible, the tree sided triangle starts with 180 degrees. For example, an equilateral triangle will always have 60 degrees as the degrees for one edge, because 60 times 3 will equal 180. Quadrilaterals will have 360 degrees as an angle sum, and so on.


Does the sum of a quadrilaterals angles add up to 360?

The sum is equal to 360 degrees.