What is the measure of each exterior angle of a regular polygon with 4 sides?
Table of Contents
- 1 What is the measure of each exterior angle of a regular polygon with 4 sides?
- 2 How many sides does a regular polygon have if each of its interior angle is 135 degree?
- 3 What is the sum of the interior angles of a polygon with 4 sides?
- 4 What are the interior angles of a regular polygon?
- 5 What is the sum of 4 of the interior angles of a regular pentagon?
- 6 What is the sum of the interior angles of a regular polygon with 4 sides?
What is the measure of each exterior angle of a regular polygon with 4 sides?
The measure of each exterior angle =360°/n, where n = number of sides of a polygon. One important property about a regular polygon’s exterior angles is that the sum of the measures of the exterior angles of a polygon is always 360°.
How many sides does a regular polygon have if each of its interior angle is 135 degree?
It is a octagon ( eight sides ).
What is the sum of the interior angles of a polygon with 4 sides?
360°
Sum of Interior Angles of a Polygon
| Polygon Name | Number of Interior Angles | Sum of Interior Angles = (n-2) x 180° |
|---|---|---|
| Triangle | 3 | 180° |
| Quadrilateral | 4 | 360° |
| Pentagon | 5 | 540° |
| Hexagon | 6 | 720° |
How do you find the measure of each interior angle of a regular polygon?
Lesson Summary A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n – 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n – 2) * 180 / n.
How do you find the angle of a 4 sided polygon?
Add the sum of all three angles in the quadrilateral and subtract it from 360 to get the final angle. For example a quadrilateral with the angles 40, 59.34, and 59.34 degrees would have a fourth angle of 201.32 degrees (360 – (59.34 + 59.34 + 40) = 201.32).
What are the interior angles of a regular polygon?
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….Interior angles of Regular Polygons.
| Regular Polygon Name | Each interior angle |
|---|---|
| Triangle | 60° |
| Quadrilateral | 90° |
| Pentagon | 108° |
| Hexagon | 120° |
What is the sum of 4 of the interior angles of a regular pentagon?
540°
The General Rule
| Shape | Sides | Sum of Interior Angles |
|---|---|---|
| Quadrilateral | 4 | 360° |
| Pentagon | 5 | 540° |
| Hexagon | 6 | 720° |
| Heptagon (or Septagon) | 7 | 900° |
What is the sum of the interior angles of a regular polygon with 4 sides?
The common property for all the above four-sided shapes is the sum of interior angles is always equal to 360 degrees. For a regular quadrilateral such as square, each interior angle will be equal to: 360/4 = 90 degrees.
How do you find the exterior angle of a polygon with n sides?
Exterior Angles of a Regular Polygon with n sides: Exterior angle = 360°/n.