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The sum of the angles of a four sided shape is equal to 360 degrees.
One way to prove this is to draw a diagonal line connecting two opposite vertices, resulting in two triangles. Since the sum of the angles of a triangle equal 180 degrees, and there are two resulting triangles, then the sum of the angles of two triangles (180 + 180) will equal 360 degrees.
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The sum of the angles in a 33 sided shape?
The sum of the angles in the 33 sided shape is 5,580 degrees
What is the sum of the angles of a four-sided polygon?
The sum of the interior angles of a four-sided polygon is 360 degrees.
What is the sum of angles in a six sided shape?
The sum of all the exterior angles is 360 degrees. The sum of all the interior angles is 720 degrees.
What shape has interior angles with the sum of 720 degrees?
An hexagon which is a six sided shape.
Why is a four sided shape always a square?
A four-sided shape, or quadrilateral, is not always a square. It can also be a rectangle, an oblong, a parallelogram, a rhombus, a diamond, a kite, a trapezium or a delta (arrowhead/chevron). Sometimes it does not even have a name. A square is the only quadrilateral to have all four sidea and all four angles the same, and in any four - sided shape , the sum of the 4 angles is always 360`.
