Because angles around a point add up to 360 degrees.
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The interior angles of all quadrilaterals sum to 360 degrees. Since a parallelogram is a quadrilateral, its interior angles must sum to 360 degrees.
It is 360 degrees
360 degrees
-- The sum of the four exterior angles is 360 degrees. -- The sum of the four interior angles is also 360 degrees. -- So the sum of all the interior and exterior angles is 720 degrees.
A trapezium is a quadrilateral and, as with all quadrilaterals, its interior angles sum to 360 degrees.