What is the sum of angles in a quadrilateral?

360 degrees

The sum of the interior angles in any quadrilateral is always 360 degrees. This can be demonstrated by dividing the quadrilateral into two triangles. Since each triangle has a sum of angles equal to 180 degrees, the combined total for the two triangles is 180 degrees plus 180 degrees, which equals 360 degrees.

This property holds true for all types of quadrilaterals, whether they are squares, rectangles, trapezoids, or irregular shapes, making the sum of their angles consistent at 360 degrees. Understanding this fundamental property is important as it provides a basis for further geometric principles and calculations involving quadrilaterals.

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180 degrees

270 degrees

90 degrees

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