How many sides does a polygon with 119 diagonals have?

So if a regular polygon has 119 diagonals, then it has 17 sides.

How many sides does a polygon with 209 diagonals have?

22 sides
So, a polygon with 22 sides has 209 diagonals.

How many sides does a polygon have if the maximum number of diagonals that you can draw inside it is 54?

12
So, the number of sides of a polygon which have 54 diagonals is 12.

How many sides does a polygon have with 170 diagonals?

The number of diagonals in a polygon is given by the formula n(n-3)/2 where n is the number of sides of the polygon. Simplifying we get n^2-3n-340= 0. Solving we get n= 20. Hence the polygon has 20 sides which has 170 diagonals.

How do you find the sides of a polygon?

Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.

How many sides does a regular polygon have that has 5 diagonals?

For example, a pentagon (5 sides) has only 5 diagonals. Each vertex has two diagonals, so if you counted each diagonal from every vertex twice, you might think there were 10 diagonals.

How many sides does a polygon with 170 diagonals have?

Another way to express the general rule for the total number of diagonals is to think about the number of diagonals that can be drawn from each vertex in a polygon. That is “3” less than the number of sides. Therefore, for a 20-sided polygon, there will be 190 lines and 170 diagonals.

How many sides does a polygon have if it has 104 diagonals?

Since a polygon cannot have a negative number of sides, the answer to your question is: 16 sides.

How many sides does a regular polygon have if each of its interior angle is 120 degree?

6 sides
Answer: If an interior angle of a regular polygon measures 120°, it has 6 sides (Hexagon). Let us solve it step by step. Explanation: Given that, one interior angle is 120 degrees.