The sum of all (interior) angles must equal 360 degrees
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360 because ALL quadrilaterals have an angle sum of 360
All polygons with four angles (quadrilaterals) have a inner angle sum of 360 degrees.
360 degrees
A trapezium is a quadrilateral and, as with all quadrilaterals, its interior angles sum to 360 degrees.
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).