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Q: What are the total diagonals in an irregular polygon whose interior angles add up to 1980 degrees showing all work?

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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.

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

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

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.

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

A convex polygon.

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.

nonagon

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.

An irregular pentagon.

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

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

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