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How many sides does a polygon have if the sum of the interior angles is 2880 degrees?

Posted on August 27, 2022 by Author

How many sides does a polygon have if the sum of the interior angles is 2880 degrees?

So if the sum of your interior angles is 2880, you have an 18-sided polygon.

How many sides does a polygon have if the sum of the interior angles is 3600 {\ circ ∘?

A polygon with 22 sides has 22 angles whose sum is 3600 degrees.

How many sides does a polygon have if the sum of the interior angles is 1080 {\ circ ∘?

8 sides
The polygon with an interior angle sum of 1080° is an octagon, or a polygon with 8 sides.

How many sides does a polygon have if the sum of its interior angles is a 540?

5 sides
5, 6, 7, 8. Summary: If the sum of the interior angles of a polygon is 540 degrees, the polygon has 5 sides.

How many sides does a polygon have with an interior of 140?

9
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).

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What polygon has 17 sides?

heptadecagon
In geometry, a heptadecagon, septadecagon or 17-gon is a seventeen-sided polygon….Heptadecagon.

Regular heptadecagon
A regular heptadecagon
Type Regular polygon
Edges and vertices 17
Schläfli symbol {17}

How many sides does a polygon have if the sum of the interior angles is 720?

6 sides
Since the figure with angles measuring 0˚ is 1 lines, then the figure with interior angles of 720˚ has 1+5=6 sides.

What polygon has 13 sides?

Tridecagon
Tridecagon. A 13-sided polygon, sometimes also called the triskaidecagon.

How many sides does the polygon have if the sum of each interior is 1980?

13 sides
Hence, the polygon has 13 sides.

How many sides does a polygon have?

Other Types of Polygons

Polygon Number of Sides
Triangle 3
Quadrilateral 4
Pentagon 5
Hexagon 6

How many sides does a polygon have if the sum of its interior angles is 720?

What is the sum of interior angles of a 10 sided polygon?

Q.3: What is the sum of interior angles of a 10-sided polygon? Answer: Given, Number of sides, n = 10. Sum of interior angles = (10 – 2) x 180° = 8 x 180° = 1440°. Practise Questions. Find the number of sides of a polygon, if each angle is equal to 135 degrees. What is the sum of interior angles of a nonagon?

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

For any regular polygon, the number of sides or angles is equal to the sum of the angles divided by 2 less than the number of angles. Examples: An equilateral triangle has 3 angles of 60 degrees each. 60×3=180, and 180÷ (3–2)=180.

What is the difference between polygons and regular polygons?

The polygons are the closed shape that has sides and vertices. A regular polygon has all its interior angles equal to each other. For example, a square has all its interior angles equal to the right angle or 90 degrees. The interior angles of a polygon are equal to a number of sides. Angles are generally measured using degrees or radians.

How many sides does a polygon have with 360 angles?

If the internal angles are 7 times as great as the external ones,the external ones are 180/8 degrees, or 22.5 degrees, the polygon has 360/22.5 sides, or 16 sides. Note, you could have used 180/8 to get more rapidly to 16, missing out on division by 22.5… 360/ (180/8) = 360 x 8 /180 = 2 x 8= 16

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