Table of Contents
- 1 What is the sum of the angles of a 22 sided polygon?
- 2 How many sides does a polygon have if each interior angle is 170?
- 3 Can 22 be an interior angle of a regular polygon Why?
- 4 How many sides does a 5400 degree polygon have?
- 5 What do you call a polygon with 20 sides?
- 6 How many sides does a polygon have if it has 299 diagonals?
- 7 How many sides does a regular polygon have?
- 8 What is the sum of the exterior angles of a polygon?
What is the sum of the angles of a 22 sided polygon?
3600˚
Find the sum of the interior angles of a 22-gon. Since the polygon has 22 sides, we can substitute this number for n: (n 2)180˚= (22 2)180˚= 20180˚= 3600˚.
How many sides does a polygon have if each interior angle is 170?
A regular polygon with each interior angle of 170 deg will have each exterior angle as 180–170 = 10 deg. Hence the number of sides in the regular polygon = 360/10 = 36 sides.
How do you find the number of sides of a polygon if the interior angle is given?
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.
Can 22 be an interior angle of a regular polygon Why?
If 22° is an interior angle, then 180° – 22°, i.e. 158° is exterior angle. Thus, 22° cannot be an interior angle of a regular polygon.
How many sides does a 5400 degree polygon have?
Hence, the polygon has 32 sides.
What is the formula to find the sides of 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.
What do you call a polygon with 20 sides?
In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees.
How many sides does a polygon have if it has 299 diagonals?
26
Polygons
| Sides | Diagonals |
|---|---|
| 23 | 230 |
| 24 | 252 |
| 25 | 275 |
| 26 | 299 |
How to find a single interior angle of a regular polygon?
More on regular polygons here . What about when you just want 1 interior angle? In order to find the measure of a single interior angle of a regular polygon (a polygon with sides of equal length and angles of equal measure) with n sides, we calculate the sum interior angles or ( n − 2) ⋅ 180 and then divide that sum by the number of sides or n.
How many sides does a regular polygon have?
Multiply both sides by n. Simplify the right side. Subtract 170n from both sides. Add 360 to both sides. Finally, divide both sides by 10. The regular polygon has 36 sides. You can put this solution on YOUR website!
What is the sum of the exterior angles of a polygon?
The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360°. Calculate the measure of 1 exterior angle of a regular pentagon? What is the measure of 1 exterior angle of a regular decagon (10 sided polygon)? What is the measure of 1 exterior angle of a regular dodecagon (12 sided polygon)?
What is the sum of the interior angles of a hexagon?
Calculate the size of the interior angle of a regular hexagon. The sum of interior angles is \\ ( (6 – 2) imes 180 = 720^\\circ\\). One interior angle is \\ (720 \\div 6 = 120^\\circ\\). If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle.