Find the number of sides that intersect between two or more polygons

How do you find the number of sides of a polygon?

Quote from video: So a quick example is like say you had like a pentagon like this if you draw these diagonals. See how I divided this up into three triangles. So the angles in a triangle add up to 180.

How do you find the number of sides of a polygon when given the interior angle?

Quote from video: So to do that i will add 144 degrees equals n minus 2 times 180 degrees divided by n.

What is polygon formula?

Polygon Formula



The sum of interior angles of a polygon with “n” sides =180°(n-2) Number of diagonals of a “n-sided” polygon = [n(n-3)]/2. The measure of interior angles of a regular n-sided polygon = [(n-2)180°]/n. The measure of exterior angles of a regular n-sided polygon = 360°/n.

How do you find the number of sides of an irregular polygon?

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 using diagonals?

Number of Diagonals = n(n-3)/2



In other words, an n-sided polygon has n-vertices which can be joined with each other in nC2 ways. Now by subtracting n with nC2 ways, the formula obtained is n(n-3)/2. For example, in a hexagon, the total sides are 6. So, the total diagonals will be 6(6-3)/2 = 9.

How do you find the number of sides of a polygon using exterior angles?

(b) Calculate the number of sides in the regular polygon. We do this by dividing 360° by the size of one exterior angle, which is 72°. The answer is 360° ÷ 72° = 5 sides.

How do you find the number of sides of a regular polygon if each interior angle is 108?

Each interior angle of a polygon = 108∘ =2n−4n×90∘=108⇒2n−4n=108∘90∘⇒2n−4n=65⇒10n−20=6n⇒10n−6n=20⇒4n=20⇒n=204=5sides. Q. If each interior angle of a regular polygon is 150∘, how many sides does this polygon have?

How do you find the number of sides of a regular polygon if each interior angle is 144?

Detailed Solution

1. Formula used. Each interior angle = 180(n – 2)/n (n = no. of sides)
2. Calculation. Each interior angle = 144° ⇒ 180(n – 2) = 144n. ⇒ n = 10.
3. ∴ The no. of side of polygon is 10.
4. Each interior angle = 144° The each exterior angle = 180 – 144 = 36° The number of sides = 360/36 = 10. ∴ The no.

How do you find the number of sides of a polygon if each interior angle is 150?

So, it is a 12 sided polygon and it is called as dodecagon. Q.

How do you find the number of sides of a polygon when given the interior angle is 162?

Solution: Given: Each interior angle of a polygon is 162°. We know that the sum of an interior angle and an exterior angle of a polygon is equal to 180°. Hence, the number of sides of the given polygon is 20.

How do you find the number of sides in a polygon with a given interior angle of 156?

So the polygon has 360/24 = 15 sides. Q.

How do you find the number of sides of a polygon with an interior angle of 120?

Answer: If an interior angle of a regular polygon measures 120°, it has 6 sides (Hexagon).