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How many sides in regular n-gon whose sum of interior angles is 1080?
Wiki User
∙ 13y ago
sum of interior angles = (n-2)180=1080
1080/180=n-2
6=n-2
8=n
Wiki User
∙ 13y ago
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How many sides a regular n-gon whose sum of interior angle is 1080?
8 sides and it is a regular octagon
What is the sum of the interior angles of a polygon is 900 What type of polygon is it?
For any regular polygon with number of sides n, the sum of the internal angles is equal to (n - 2) x 180. Therefore, the number of sides of a shape the sum of whose internal angles are equal to 900 is equal to (n - 2) x 180 = 900, therefore, n = (900 / 180) + 2 = 7. The number of sides the shape will have is 7, making it a heptagon (also known as a septagon). It is not necessarily regular however, because although the angles in a regular heptagon would add to 900 degrees, an irregular heptagon would also add to this number.
How many sides has a regular polygon whose interior angle is 11 times its exterior angles?
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nThe measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nIf the interior angle is 11 times the exterior angle, then:180 (n-2)/n = 11 x 360/nthen: 180 n - 360 = 11 x 360, or180 n = 12 x 360that its solution gives n = 24Accordingly, the answer is that the number of sides of this polygon is 24
In a regular polygon the ratio of the measure of the exterior angle to the measure of the adjacent interior angle is 4 to 1 how many sides does the polygon have Please show your work?
This is not possible for a normal regular polygon. (A regular polygon has all equal angles and all equal sides. A normal polygon has no intersecting edges.)The smallest regular polygon is an equilateral triangle (a three sided polygon), whose exterior angle measure is twice the measure of its interior angle. A four-sided polygon (a square) has equal interior and exterior angle measures of 90⁰. Starting from a five-sided polygon, the exterior angle measure is smaller than the interior angle measure.Let's assume that the given information is true. So we need to verify it.Let's say that the interior angle of the regular polygon has a measure of x degrees, and the measure of the exterior angle of that polygon is 4x degrees.Since the sum of the interior and the exterior angles of the polygon is 180 degrees (a straight line), the interior angle is 36 degrees.4x + x = 1805x = 1805x/5 = 180/5x = 36The sum of the angles of a polygon = 180⁰(n - 2), where n is the number of the sides of the polygon.The measure of one of the angles of a polygon = 180⁰(n - 2)/n. Substituting the angle measure of 36⁰ into this formula, we have:36⁰ = 180⁰(n - 2)/n (multiply by n to both sides)36⁰n = 180⁰(n - 2)36⁰n = 180⁰n - 360⁰ (add 360⁰ and subtract 36⁰n to both sides)360⁰ = 144⁰n (divide by 144⁰ to both sides)2.5 = n !!That means that a such normal polygon does not exist.
What two angles whose sides are opposite rays called?
linear pair ^^
What are the differences between a triangle and an octagon?
Triangle has 3 sides, 3 vertices (corners) whose interior angles add up to 180. Octagon has 8 sides, 8 vertices, whose interior angles add up to 1080 degrees. A regular triangle (all sides equal, all angles equal), has interior angles of 60 degrees. A regular octagon (all sides equal all angles equal), has interior angles of 135.
What is the interior sum of an octagon?
The sum of the interior angles of a regular polygon is found with the formula: (n-2)180. For a regular octagon with 8 sides, the sum of the interior angles would be: (8-2)180 = 1080 degrees. This only works for regular polygons whose sides and angles are congruent.
Calculate the number of sides of a regular polygon whose interior angles are each 165 degrees?
14 sides in the polygon
What is a regular hexagon with sides of length s?
It is a plane six-sided figure, each of whose sides is of length s units and each of whose interior angles is 120 degrees.
What makes a regular hexagon?
A plane shape whose six boundaries are straight sides of equal length and each of whose interior angles measures 120 degrees.
What is the name of th regular polygon whose interior angle is treble its exterior?
It is a regular 8 sided octagon whose interior angles are 135 degrees and its exterior angles are 45 degrees
How do you find a regular octagon with size 5 cm?
It is an octagon each of whose sides is 5 cm long and each of whose interior angles measures 135 degrees.
What is the name of the regular polygon whose interior angles are twice its exterior angles?
hexagon
A regular polygon whose measures of its interior angles are 60?
An equilateral triangle has 3 interior angles each measuring 60 degrees
How many sides does a 2880 polygon have?
A polygon whose interior angles are 2880 degrees has 18 sides.
What regular polygon has the sum of its interior angles add up to 1260?
It is a regular 9 sided polygon whose 9 interior angles add up to 1260 degrees
How many sides does a heptagon interior angles has?
A heptagon is a 7 sided polygon whose 7 interior angles add up to 900 degrees.
