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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 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 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 do the angles add up to in a fifteen sided shape?
The interior angles of a 15 sided polygon sum to 2340 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 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 exterior angles in a 24 sided shape?
360 degrees is.
