answersLogoWhite

0

IF it is a regular polygon

central angle of the 14 triangles created from the center is 360/n = 180/7

All triangles are isosceles.... so one non central angle is (180 -180/7)/2

But that is only 1/2 of one of the interior angles so multiply by 2

= 180 - 180/7 <--- Answer

Another way is the total of all angles of the 14 triangles formed from the center is 14(180) But the center is a circle = 360 so the sum of the interior angles is

14(180) - 360. A little alg shows this is (14 - 2)180 A FORMULA FROM GEOMETRY. (n-2)180

So if all = 12(180) then one will be 12(180)/14 <--- Answer

User Avatar

Wiki User

12y ago

What else can I help you with?

Related Questions

A regular polygon has an interior angle measure of 168 What kind of polygon is it?

A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.


Are interior angles in a polygon equal in measure?

Only if the polygon is "regular".


Is Each of the interior angles in a polygon are equal in measure.?

Only when it is a regular polygon that all interior angles are of equal measure


If the measure of an interior angle of a regular polygon is 140 how many sides does the polygon have?

If the measure of an interior angle of a regular polygon is 140o, the polygon is a nonagon (sometimes called an ennagon) having 9 sides.


What is the measure of each interior angle of a fifteen sided regular polygon?

The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.


Which regular polygon has interior angles that measure about 152.3 degrees each?

A 13 sided regular polygon


What is the measure of each interior angle of a 18 sided regular polygon?

The interior angle of an octdecagon, an 18 sided regular polygon, is 160o.


What is the measure of one interior angle of a regular polygon with 4 sides?

A regular polygon with 4 sides is a square. The measure of any interior angle of a square is 90 degrees.


The measure of each interior angle in a polygon is 120 What is the name of the polygon?

A regular hexagon.


Are all the interior angles in a polygon equal in measure?

Only if the polygon is a "regular" one.


Are the interior angles in a polygon equal in measure?

Only when the polygon is a regular convex polygon. Such as an equilateral triangle, or a square, or a regular pentagon.


How do you measure sides of a regular polygon if each interior angle is 120?

A regular polygon with each interior angle measuring 120 degrees is a hexagon.