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Multiple Choice

The sum of interior angles of a quadrilateral is how many degrees?

Split the quadrilateral into two triangles by drawing a diagonal. Each triangle has interior angles totaling 180 degrees, so together they sum to 360 degrees. In general, a polygon with n sides has interior angles that sum to (n−2)×180 degrees; for four sides, that gives 360. The other numbers correspond to polygons with different numbers of sides (triangle 180, pentagon 540, hexagon 720).

Split the quadrilateral into two triangles by drawing a diagonal. Each triangle has interior angles totaling 180 degrees, so together they sum to 360 degrees. In general, a polygon with n sides has interior angles that sum to (n−2)×180 degrees; for four sides, that gives 360. The other numbers correspond to polygons with different numbers of sides (triangle 180, pentagon 540, hexagon 720).