answersLogoWhite

0


Best Answer

Suppose the polygon has V vertices.Then sum of interior angles is (V - 2)*180 degrees = 1980 degrees

=> V - 2 = 1980/180 = 11 => V = 13

A polygon with V vertices has V*(V-3)/2 = 13*10/2 = 65 diagonals.

User Avatar

Wiki User

โˆ™ 2016-08-06 12:05:12
This answer is:
User Avatar
Study guides

Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

โžก๏ธ
See all cards
3.74
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
1186 Reviews
More answers
User Avatar

Wiki User

โˆ™ 2016-08-06 11:37:08

It makes no difference if it's an irregular or a regular polygon:-

Number of sides: (1980+360)/180 = 13 sides

Total diagonals: 0.5*(13^2 -3*13) = 65 diagonals

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What are the total diagonals in an irregular polygon whose interior angles add up to 1980 degrees showing all work?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the sum of a polygon if the measure of the interior angle is 40 degrees?

If an interior angle is 40 degrees, the polygon must be irregular since the smallest angle for a regular polygon is 60 degrees. Since it is irregular, the polygon can have any number of sides.


What is the total number of diagonals in a regular polygon with an interior angle of 120 degrees?

If it is a regular polygon with each interior angle of 120 degrees then it is an hexagon which will have 0.5((6^2)-3*6) equals 9 diagonals


What are real life examples of a nonagon?

A nonagon is a 9 sided polygon which can be regular or irregular Its 9 interior angles add up to 1260 degrees It has 27 diagonals


How many sides does a polygon have with an interior angle of 10 degrees have?

A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.


What is the interior angle of a polygon with 29 sides?

The interior angles of a regular or irregular polygon with 29 sides add up to 4,860 degrees


What is a polygon where all diagonals lie on its interior?

A convex polygon.


How many sides does a 24 degrees polygon have?

It cannot be a regular polygon with interior angles of 24 degrees since the smallest interior angle in a regular polygon is 60 degrees. If it is an irregular polygon, then any one of them, with 3 or more sides, can have an angle of 24 degrees.


What irregular polygon has 2 perpendicular diagonals?

nonagon


What is the interior angle of a irregular polygon with 9 sides?

The sum of the interior angles of any convex polygon with n sides is n * 60 degrees. Any given interior angle, however, can be anything from just greater than 0 degrees to just less than 180 degrees.


A pentagon with one interior angle that measures 200 degrees is what type of polygon?

An irregular pentagon.


What are the properties of an irregular hexagon?

It is a 6 sided hexagon polygon Its sides are of different lengths Its interior angles are of different sizes Its 6 interior angles add up to 720 degrees Its 6 exterior angles add up to 360 degrees It has 9 diagonals It can't tessellate


Formula of irregular polygon?

Any irregular polygon does not have equal sides and equal interior angles

People also asked