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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.
How do you find the sum of the interior angles of a polygon with 12 sides?
The formula is: (12-2)*180 = 1800 degrees
What are the interior angles of a 39 sided polygon?
To find the sum of the interior angles of any polygon, you can use the formula (n-2) * 180 degrees, where n is the number of sides. For a 39-sided polygon, the sum of the interior angles would be (39-2) * 180 = 37 * 180 = 6660 degrees. Since all the interior angles of a polygon are equal, you can divide the total sum by the number of angles to find the measure of each interior angle. In this case, each interior angle of a 39-sided polygon would measure 6660 / 39 = 170.77 degrees.
How do you divide a polygon into triangles to find the sum of its interior angles?
If a regular polygon has n sides, then the number of triangles in that polygon is n - 2. thus, the sum of its interior angles is equal to (n - 2)180°.
What is the sum of the interior angles of a twenty sided polygon?
Use the formula below to calculate the sum of the interior angles of any polygon with n-number of sides: n * (180o) - 360o or (n-2) * 180o And to find the measurement of each interior angle divide this number by the number of sides of the polygon. So for a 20-sided polygon, the sum of the interior angles would be: 20*180o - 3600 = 3240o or (20-2) * 180o = 3240o And each interior angle would measure 3240o/20 or 162o == ==
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 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.
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.
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
