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 .