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What are the total diagonals in an irregular polygon whose interior angles add up to 1980 degrees showing all work?
Wiki User
∙ 7y ago
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.
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoIt 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
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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 are the properties of an irregular hexagon?
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What irregular polygon has 2 perpendicular diagonals?
nonagon
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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.
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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
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
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
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 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.
What is a polygon where all diagonals lie on its interior?
A convex polygon.
What irregular polygon has 2 perpendicular diagonals?
nonagon
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
A pentagon with one interior angle that measures 200 degrees is what type of polygon?
An irregular pentagon.
If the sum of interior angles a regular polygon is 1080 degrees how many diagonals does this polygon have?
If the polygon has n sides, the sum of its interior angles is 180*(n - 2) degrees. [Whether the polygon is regular or not is irrelevant] So, 180*(n - 2) = 1080 (n - 2) = 6 n = 8 Then number of diagonals = n*(n - 3)/2 = 8*5/2 = 20
