0

# Is it possible for the exterior angles of a regular polygon to measure 30 degrees?

Updated: 12/16/2022

Wiki User

14y ago

Yes and here is why. The sum of the exterior angles of a regular polygon of n sides is 360°. Each exterior angle measures 360°/n. So we need to find a natural number n such that 360/n=30 and that n will be the number of angles in the polygon. 360/n=30 360=30n 360/30=n so n would need to be 12 and a 12 sided regular polygon has each exterior angle of measure 30 degrees.

Wiki User

14y ago

Earn +20 pts
Q: Is it possible for the exterior angles of a regular polygon to measure 30 degrees?
Submit
Still have questions?
Related questions

### How do you find the measure of exterior angles on a polygon?

The exterior angles of any polygon add up to 360 degrees

### What is the sum of the exterior angles of a polygon when measures 45 degrees?

The sum of the exterior angles of a polygon, whatever the measure of each one, is always 360 degrees.

### What is the exterior measure of a 20 sided polygon?

The exterior angles add up to 360 degrees

### What is the exterior angle of a 30 sided polygon?

Providing that it's a regular polygon then each exterior angle will measure 12 degrees.

### What is the measure of an exterior angle of a regular polygon with 36 sides?

The sum of the exterior angles of a polygon = 360360 / 36 = 10 degrees

### What is the measure of an exterior angle of a 10 sided polygon?

If it's a regular polygon then each exterior angle measures 36 degrees

360 degrees

### How many degrees are in each exterior of an equianglar polygon of 32 sides?

Each exterior angle will measure 11.25 degrees.

### What is the measure ofr a regular polygon with an exterior angle of 18.95?

There can be no such polygon. The sum of the exterior angles of ANY polygon is 360 degrees. If it is a regular polygon, then the number of angles MUST divide 360 degrees. Since 18.95 does not divide 360, there cannot be such a polygon. If the exterior angle was 18.94737... degrees, it would be a 19-sided polygon.

### How many sides does a regular polygon have with an exterior angle measure of 1?

A regular polygon will have 360 sides with exterior angles of 181 degrees.

### What is the measure of a set of exterior angles of a heptagon?

The sum of the exterior angles of ANY polygon is 360 degrees.

### What is the sum of the measure of the exterior angles of a heptagon?

The sum of the exterior angles of ANY polygon is 360 degrees.