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What is the measure of an interior angle that has a regular polygon with 20 sides?
Each interior angle will measure 162 degrees
What is the interior angle of a twenty-four-sided polygon?
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
How can you get the measure of an interior angle if you have the measure of the exterior angle of a regular polygon?
It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line
Which regular polygon the measure of the exterior angle is twice the measure of the interior angle?
In a regular polygon, the measure of the exterior angle is related to the interior angle by the equation: exterior angle = 180° - interior angle. If the exterior angle is twice the measure of the interior angle, we can set up the equation: exterior angle = 2 × interior angle. Solving this gives us the equation: 180° - interior angle = 2 × interior angle, leading to 180° = 3 × interior angle, or interior angle = 60°. This corresponds to a regular hexagon, as it has interior angles of 120° and exterior angles of 60°.
What is the measure of one interior angle on a regular polygon with an interior angle sum of 2160 degrees?
It will have 14 sides and each interior angle will measure 2160/14 degrees
A regular polygon has an interior angle measure of 168 What kind of polygon is it?
A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.
If the measure of an interior angle of a regular polygon is 140 how many sides does the polygon have?
If the measure of an interior angle of a regular polygon is 140o, the polygon is a nonagon (sometimes called an ennagon) having 9 sides.
What is the measure of an interior angle that has a regular polygon with 20 sides?
Each interior angle will measure 162 degrees
What is the interior angle of a twenty-four-sided polygon?
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
What is the measure of each interior angle of a fifteen sided regular polygon?
The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.
If the sum of the interior angle of a polygon equals 4320 degrees what is the measure of each interior angle of the polygon?
Im stuck on that too :/
What is the interior angle of a 18 sided polygon?
Providing that it is a regular polygon then each interior angle will measure 160 degrees
How do you find a number of sides of a polygon with the measure of its interior angle?
If its a regular polygon then 180-interior angle and divide the answer into 360 which will give the number of sides of the polygon.
How do you measure the interior angle of a polygon?
With a protractor or if you know the exterior angle then it's 180 - exterior angle = interior angle
What is the polygon formed if the measure of interior angle is 2520?
A 16 sided polygon
What is the measure of each interior angle of a 18 sided regular polygon?
The interior angle of an octdecagon, an 18 sided regular polygon, is 160o.
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.
