# How do you find the exterior angle of a 30 sided polygon?

## How do you find the exterior angle of a 30 sided polygon?

So, for your 30-gon, the interior angles total up to (30-2) * 180 = 5040. Each interior angle is that total divided by the number of interior angles, or 5040/30 = 168º: The measure of each exterior angle is the total divided by the number of angles, or 360/30 = 12º.

## Is it possible to have a regular polygon each of whose exterior angle is 30 if yes how many sides does that polygon have?

of Sides = 360° / Exterior Angle = 360/30 = 12 Number of sides is 12 of regular polygon whose exterior angle is 30°.

What is the sum of the exterior angles in a 30 gon?

The sum of the exterior angles of any polygon is 360 degrees and so the sum of the exterior angles is irrespective of the number of sides.

### How many diagonals does a 30 sided polygon have?

405
diagonals, as each vertex has diagonals to all other vertices except itself and the two adjacent vertices, or n − 3 diagonals, and each diagonal is shared by two vertices….Polygons.

Sides Diagonals
28 350
29 377
30 405
31 434

### What is the measure of an exterior angle of a regular 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 regular polygon have if the measure of exterior angle is 45 degree?

8
Explanation: Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .

## How many sides does the regular polygon have if the measure of an exterior angle is 24 degree?

15
Q3) How many sides does a regular polygon have if the measure of an exterior angle is 24°? => Number of sides of polygon with each angle of 24 is 15.

## What is the sum of exterior angles for a shape with 31 sides?

Answer: 11.61 degree. Step-by-step explanation: exterior angle of a polygon = 360 ÷ number of sides.

What is the sum of the interior angles of a 30 sided polygon?

5040 degrees
In geometry, a triacontagon or 30-gon is a thirty-sided polygon. The sum of any triacontagon’s interior angles is 5040 degrees.

### How many sides does a regular polygon have if its exterior angles are 45?

As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .