The diagonal is drawn in the quadrilateral ABCD. It splits the quadrilateral into two triangles.

The diagonal is drawn in the quadrilateral ABCD. It splits the quadrilateral into two triangles. The sum of the angles of each of a triangle is 180 degrees. What is the sum of the angles of a quadrilateral?

If the sum of the angles of each triangle is 180 degrees, and there are two triangles, then the sum of the angles of the quadrilateral is 180 + 180 = 360 degrees. But regardless of the number of triangles and the sum of their angles, the sum of the angles of a quadrilateral is ALWAYS 360 degrees.



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