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If you cut any quadrilateral along one of its diagonals, the figures formed are two triangles. Since the sum of the angles of a triangle is 180 degrees, then the sum of the angles of two triangles is 2(180) = 360 degrees. For this reason, the sum of the angles of a quadrilateral is 360 degrees.
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Earn +20 ptsQ: How do the angles inside a quadrilateral add up to 360?
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Continue Learning about Geometry
How many degrees does a rhombus add up to?
There are four angles inside any polygon with four sides (a quadrilateral). The interior angles always add up to 360 degrees, for any quadrilateral, including a rhombus.
What do exterior angles in a quadrilateral add up to?
360
How many inferior angles does a quadrilateral have?
A quadrilateral has 4 interior angles that add up to 360 degrees
What is the sum angles measures of the quadrilateral?
The 4 interior angles of any quadrilateral add up to 360 degrees
Is the sum of the measures of the angles of a self-intersecting quadrilateral always 360 degrees?
The interior angles of a quadrilateral always add up to 360 degrees.
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