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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.
Does any polygon have the sum of its angle equal to 1000 how about 900?
Well, honey, a polygon with 1000 degrees for the sum of its angles would be one sassy shape with over 7 sides, like an octagon or higher. And for 900 degrees, you're looking at a hexagon or more. So, in short, yes, there are polygons out there strutting their stuff with those angle sums.
What are the sum of angles of a heptagon nonagon and dodecagon?
The sum of the interior angles of a polygon is given by: sum_interior_angles = (number_of_sides - 2) × 180° A heptagon has 7 sides → sum_interior_angles_heptagon = (7 - 2) × 180° = 900°. A nonagon has 9 sides → sum_interior_angles_nonagon = (9 - 2) × 180° = 1260°. A dodecagon has 12 sides → sum_interior_angles_dodecagon = (12 - 2) × 180° = 1800°. To find the interior angle of a regular polygon either: a) divide their sum by the number of sides b) find an exterior angle and subtract form 180°; the exterior angle of a regular polygon is given by exterior_angle = 360° ÷ number_of_sides Using method (a) and the sums found above: interior_angle_regular_heptagon = 900° ÷ 7 = 128 4/7° ≈ 128.57° interior_angle_regular_nonagon = 1260° ÷ 9 = 140° interior_angle_regular_dodecagon = 1800° ÷ 12 = 150°
What is the sum of interior angles of a heptagon?
900 degrees.Explanation: The sum of the measures of the interior angles of a heptagon is 900°. A heptagon has 7 sides. So to calculate the sum of the measures of the interior angles in a heptagon, substitute 7 for n in (n − 2) • 180°. You get (7 − 2) • 180°, or 5 • 180°= 900°.
Interior angle of 7 sided polygon?
Providing that it is a regular 7 sided polygon then each interior angle is 900/7 degrees
