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The formula to find the sum of the interior angles of a polygon is ( S = (n - 2) \times 180^\circ ), where ( n ) is the number of sides of the polygon. This formula is derived from the fact that a polygon can be divided into ( n - 2 ) triangles, each contributing ( 180^\circ ) to the total angle sum. For example, a triangle (3 sides) has a sum of ( 180^\circ ), while a quadrilateral (4 sides) has a sum of ( 360^\circ ).
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Why do you use the number 2 to find the sum of the interior angle of a polygon?
It is used in the formula for finding the sum of the interior angles of a polygon:- (n-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon
How do i find the interior angle of a polygon?
To find the interior angle of a polygon, use the formula ((n - 2) \times 180^\circ / n), where (n) is the number of sides in the polygon. This formula calculates the measure of each interior angle in a regular polygon, where all angles are equal. For irregular polygons, you would need to find the individual angles or use additional methods depending on the specific shape.
What polygon has interior angles that measure 900 degrees?
A polygon with interior angles that sum to 900 degrees is a nonagon, which has 9 sides. The formula for the sum of interior angles of a polygon is given by ( (n - 2) \times 180 ) degrees, where ( n ) is the number of sides. Setting this equal to 900 degrees, we find ( n = 9 ). Therefore, a polygon with a sum of interior angles of 900 degrees is a nonagon.
Can you still find the interior sum of angles without measuring?
Yes by using the formula: (n-2)*180 = sum of interior angles whereas n is the number of sides of the polygon
What is the sum of the interior angles of a nine sided polygon?
To find the sum of the interior angels of the formula (n-2)*180 is used. The 'n' represents the number of sides. The sum of he interior angles of a nine sided polygon would be (9-2)*180=1260.
What is the formula to find the sum of interior angles of a polygon?
The formula to find the sum of interior angles of a polygon is 180° × (n - 2), where n is the number of sides of the polygon.
What is the formula to find the interior angles of a polygon?
If the polygon is a regular polygon then all interior angels are equal to 180-(360/no of sides of the polygon)
What is the formula for finding the sum of an interior angle of a polygon?
(n-2)(180) use that formula to find the sum of the interior angles of a polygon in degree
Why do you use the number 2 to find the sum of the interior angle of a polygon?
It is used in the formula for finding the sum of the interior angles of a polygon:- (n-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon
What is the formula to find the sum of the interior angles of any polygon?
The sum of the interior angles (the angles of a polygon is equal to the 180*(n-2), where n is the number of sides. For example, if a polygon has 5 sides the sum of the angles is 180*(5-2), which is 540 degrees.
What is the formula that is used to find the sum of the interior angles of a polygon with n sides?
The formula is sum of interior angles = (n - 2)*pi radiansor (n - 2)*180 degrees.
Sum of angles of a nonagon?
The sum of the interior angles of a nonagon is 1260 degrees. A nonagon is a nine-sided polygon in geometry. The formula to find the sum of interior angles in a polygon is given by the formula [n-2] x 180 degrees, where n represents the number of sides.
What is the formula to find the sum of the interior angles of a polygon with any number of sides?
If the polygon has n sides (and vertices) then the sum of the interior angles is (n - 2)*180 degrees or (n-2)*Ï€ radians.
What polygon has interior angles that measure 900 degrees?
A polygon with interior angles that sum to 900 degrees is a nonagon, which has 9 sides. The formula for the sum of interior angles of a polygon is given by ( (n - 2) \times 180 ) degrees, where ( n ) is the number of sides. Setting this equal to 900 degrees, we find ( n = 9 ). Therefore, a polygon with a sum of interior angles of 900 degrees is a nonagon.
If the sum of the interior angles of a regular polygon is 900 degrees how many sides does it have?
We can use a formula to find the sum of the interior angles of any polygon. In this formula, the letter n stands for the number of sides, or angles, that the polygon has.sum of angles = (n - 2)180°Substituting in 900 for the sum of the interior angles...900 = (n-2) * 180divide both sides by 1805 = n - 2add 2 to both sides7 = nThis is a seven sided Polygon. In geometry, a heptagon (or septagon) is a polygon with seven sides and seven angles.
To find the sum of the interior angles of a regular polygon?
The sum of the interior angles of an n-sided polygon is 180n - 360 degrees.
How do you find the sum of the interior angles of a polygon with 12 sides?
The formula is: (12-2)*180 = 1800 degrees
