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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.
Frank
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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.
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`.
What shape has interior angles with the sum of 720 degrees?
An hexagon which is a six sided shape.
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.
The sum of interior angles of a trapezoid is?
360 degrees - and that is true for any quadrilateral or convex four sided shape.
What shape has the sum of 900 for the internal angles?
A 7 sided shape which is an heptagon
What is the sum of the measures of all four angles?
I can only guess you mean the four interior angles of a quadrilateral. The answer is 360 degrees.Answer 1In a quadrilateral (a four-sided shape) there is 360 degrees with all four angles summed up.
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.
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`.
What do the angles add up to in a fifteen sided shape?
The interior angles of a 15 sided polygon sum to 2340 degrees
What is the interior angle of a 31 sided shape?
The formula for the sum of the interior angles of a shape with n sides is: 180 * (n - 2) So, for a 31 sided shape, the sum of the interior angles is 180 * 29 = 5,220.
What shape has interior angles with the sum of 720 degrees?
An hexagon which is a six sided shape.
Sum of angles in a 6 sided shape?
The answer is 720 because its an hexagon
What is the sum of the interior angles of a seven sided shape?
900 degrees
