Answer: To find the number of sides of a polygon when given the sum of interior angles, we use the formula: Sum of interior angles = (n – 2) × 180, where n is the number of sides. Let’s understand this, with the help of an example.
How do you find the sides of a polygon given the interior angle?
Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.
How do you find the number of sides in a polygon?
Answer: To find the number of sides of a polygon when given the sum of interior angles, we use the formula: Sum of interior angles = (n – 2) × 180, where n is the number of sides.
How do you find the number of sides in a regular polygon that has an interior angle of 135?
Let’s start with the assumption that the number of sides be n, this means that we have n sided regular polygon whose interior angle is 135∘. Therefore, we get the number of sides that the polygon has as 8. So, the correct answer is “Option C”.How many sides does a polygon have if each interior angle is 140?
What is the name of a polygon whose interior angles are each 140°? Subtract both sides by 180°n. = 9. Therefore, the number of sides is 9 (nonagon).
How many sides does a polygon have if it has 299 diagonals?
SidesDiagonals23230242522527526299
How many sides does a polygon with 35 diagonals have?
So, the number of sides of a polygon having 35 diagonals is 10.
How many sides does a polygon have if it has 27 diagonals?
The polygon has 9 sides.What is the number of sides of a regular polygon whose interior angle is 135 8th?
= 8 sides. Hope it helps you!
What is the number of sides of a regular polygon having the given angle sum 1980 degree?or, (n – 2) = 1980 / 180 = 11. or, n = 13. Therefore there are 13 sides in total.
Article first time published onHow many sides does a pentagon have?
Answer- The Pentagon has 5 (five) sides. A pentagon is a five-sided polygon also known as 5-gon in geometry. 540° is the sum of internal angles of a simple pentagon. A self-intersecting pentagon is called a pentagram.
What is the sides of a polygon?
The segments of a polygonal circuit are called its edges or sides. The points where two edges meet are the polygon’s vertices (singular: vertex) or corners. The interior of a solid polygon is sometimes called its body. An n-gon is a polygon with n sides; for example, a triangle is a 3-gon.
How do you find the interior and exterior of a polygon?
The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.
What is the number of sides of a regular polygon with the sum of angles is 1620?
the number of sides of a regular polygon with the sum of angles as : 1620°=11 sides.
How many sides does a polygon with 44 diagonals have?
Hence, the number of sides in a polygon which has 44 diagonals is 11.
How many sides does a polygon have if the sum of its interior angle is 2340o?
If the sum of the measures of the interior angles of a polygon is 2340°, how many sides does the polygon have? Use the equation “sum of interior angles = (n – 2)180º ” to write an equation and solve for n. The solution is shown at right. Since n = 15, the polygon has 15 sides.
How many sides does a regular polygon have if each interior angle has a measure of 10 degrees?
BRIAN M. The polygon would have 36 sides.
How many sides does a polygon have if the sum of the interior angles is 3240 {\ circ ∘?
There we go, 20 sides.
How many sides does a polygon have if it has 104 diagonals?
Since a polygon cannot have a negative number of sides, the answer to your question is: 16 sides.
How many sides are there in a polygon with 20 diagonals?
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What type of polygon has 12 sides?
A dodecagon is a 12-sided polygon. Several special types of dodecagons are illustrated above. In particular, a dodecagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular dodecagon.
How many sides are there in a polygon if it has 170 diagonals?
Another way to express the general rule for the total number of diagonals is to think about the number of diagonals that can be drawn from each vertex in a polygon. That is “3” less than the number of sides. Therefore, for a 20-sided polygon, there will be 190 lines and 170 diagonals.
How many sides are there in a polygon having 54 diagonals?
So, the number of sides of a polygon which have 54 diagonals is 12.
How many diagonals does a polygon with 18 sides have?
Explanation: We can easily find out the total diagonals of an 18 sided polygon using the formula n(n-3)/2. Which will give us the no. of diagonals = 135.
How many sides has a regular polygon whose interior angles are 108 each?
An interior angle of a regular polygon has a measure of 108°. It is a 5 sided polygon known as pentagon.
How many sides does a regular polygon have if each of its interior angles is 165?
Hence the number of sides a regular polygon has if its interior angle is 165 degrees are 24.
How many sides does a regular polygon have if each of its interior angle is 160?
If the interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.
How many diagonals are there in a polygon having 12 sides?
In a polygon of 12 sides, no. of diagonals n(n−3)2=12(12−3)2=12×92=54.
What is the name of a polygon with 27 sides?
#Name of the Polygon + Geometric Drawing27 sidesheptaicosagon28 sidesoctaicosagon29 sidesenneaicosagon30 sidestriacontagon
How many sides does the polygon have if the sum of each interior angles is 1 980o?
Hence, the given polygon has 13 sides.
How many sides does a polygon have with an interior angle of 1080?
The polygon with an interior angle sum of 1080° is an octagon, or a polygon with 8 sides.
