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As the number of sides of a regular polygon increases what happens to the sum of interior angles?
Wiki User
∙ 14y ago
Let n = the number of sides of a regular polygon
The sum of the interior angles of a regular polygon (A) is found in this equation:
A = 180º x (n-2)
Obviously, n must be greater than or equal to 3
Wiki User
∙ 14y ago
lenpollock
They increase by 180 degrees.
Triangle = 180
quadrilateral = 360
Pentagon = 540
Hexagon = 720
Heptagon = 960
Octagon = 1140
Nonagon = 1320
Decagon = 1500
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As the number of sides of a regular polygon increases what happens to the measure of one central angles?
it will decrease
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 interior angle of a 50-sided polygon?
The interior angle of a regular polygon with x sides is 180(x-2)/x. As a result, each angle of a regular 50-sided polygon is 172.8.
Can a regular polygon's interior angles measure 40 degrees?
No. To elaborate, the smallest regular polygon, an equilateral triangle, has 60 degree interior angles. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.
The measure of each interior angle in a polygon is 120 What is the name of the polygon?
A regular hexagon.
As the number of sides in a regular polygon increases what happens to the measure of an interior angle?
As the number of sides in a regular polygon increases, the angle increases. This occurs as a function where each interior angle measures (180*(n-2)) / n, where n is the number of sides.
As the number of sides increases how do the angles change?
When the sides of a regular polygon increases its interior angles also increases
How many sides does a regular polygon if its interior angles are 270?
No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more.
Which of these two regular polygons has the larger interior angle a heptagon or triangle?
It is the regular heptagon which has the larger interior angle. The rule is that as the number of sides of a regular polygon increases then the external angle decreases while the interior angle increases The summation of the interior and external angleof one vertex is 180 degrees.
Which of these two regular polygons has the larger interior angle pentagon or square?
Each vertex angle of a polygon is composed of an external angle and an interior angle. These two angles are supplementary (total 180°). As the number of sides of a regular polygon increases then the external angle decreases and conversely, the interior angle increases. The interior angle of a regular pentagon (108°) is larger than the interior angle of a square (90°).
Which of these two regular polygons has the larger interior angle octagon or hexagon?
The octagon. The rule is that as the number of sides of a regular polygon increases then the external angle decreases while the interior angle increases The summation of the interior and external angleof one vertex is 180o.
If the measure of one interior angle of a regular polygon is 108 how many sides does the regular polygon have?
A pentagon (five sided regular polygon) has interior angles of 108°.
How many side does a regular polygon have with an interior angle of 30?
The smallest regular polygon, an equilateral triangle, has interior angles of 60. A square has interior angles of 90. There can't exist a regular polygon with interior angles of 30.
As the number of sides of a regular polygon increases what happens to the measure of one central angles?
it will decrease
Is a regular polygon a polygon with all sides congruent?
A regular polygon is a polygon with congruent sides and interior angles.
What is a polygon with all interior angles congruent?
A polygon with all interior angles congruent Is known as a regular polygon.
What is a polygon with all interior angles equal?
A regular polygon.
