what is the sum of the interior angles of a quadrilateral?
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Is the answer 360
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To find the sum of the interior angles of a quadrilateral, you can use a formula or a property.
Formula: The sum of the interior angles of a quadrilateral is always equal to 360 degrees.
Property: A quadrilateral can be divided into two triangles by drawing a diagonal. Since the sum of the interior angles of a triangle is always 180 degrees, you can find the sum of the interior angles of the quadrilateral by adding the angles of the two triangles formed.
The diagonal divides the quadrilateral into two triangles, and each triangle has three interior angles. Therefore, the sum of the interior angles of the quadrilateral would be the sum of the angles in both triangles, which is equal to 180 degrees + 180 degrees = 360 degrees.
So, the sum of the interior angles of a quadrilateral is always 360 degrees.