Exterior angle of polygons 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°.
Contents
- 1 What is the measure of exterior angle of a polygon?
- 2 What is measure of each exterior angles?
- 3 What is each exterior angle of a pentagon?
- 4 What is the measure of each exterior angle of a regular polygon of 9 sides *?
- 5 What is the exterior angle of a 40 sided polygon?
- 6 What is the exterior angle of a 18 sided polygon?
- 7 How many sides does a polygon have with an exterior angle of 36?
- 8 How do you find the exterior angle of a polygon with 12 sides?
- 9 Why are the exterior angles of a polygon 360?
What is the measure of exterior angle of a polygon?
The sum of the exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle in a regular polygon is: 360. If you know the exterior angle you can find the interior angle using the formula: interior angle + exterior angle = 180°
What is measure of each exterior angles?
Irrespective of the number of sides of a regular polygon, the measure of each exterior angle is equal and the sum of the measure of all the exterior angles of the regular polygon is equal to 360°.
What is each exterior angle of a pentagon?
Answer: The measure of each exterior angle of a regular pentagon is 72° A regular pentagon has all angles of the same measure and all sides of the same length.
What is the measure of each exterior angle of a regular polygon of 9 sides *?
Answer: One exterior angle of a regular 9-sided polygon is 40°.
What is the exterior angle of a 40 sided polygon?
Exterior angles (in a regular polygon) add to 360°. So you would do 360/40 to get an answer of 9.
What is the exterior angle of a 18 sided polygon?
He goes on further to explain the formula by taking an 18-sided regular polygon as example and computes its exterior angle as 360/18, which is 20 degrees.
How many sides does a polygon have with an exterior angle of 36?
The sum of the exterior angles of any regular polygon is 360 degrees. The exterior angles of a regular polygon are also equal. Allow s to represent the number of sides of the polygon. Answer: The polygon has 10 sides.
How do you find the exterior angle of a polygon with 12 sides?
For a regular n -gon, the measure of an exterior angle is 360˚n. Since a dodecagon has 12 sides, an exterior angles is 360˚12=30˚.
Why are the exterior angles of a polygon 360?
Because of the congruence of vertical angles, it doesn’t matter which side is extended; the exterior angle will be the same. The sum of the exterior angles of any polygon (remember only convex polygons are being discussed here) is 360 degrees.
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