Question

Sum of polygon is 1080.how many sides are there

Answer 1

Answer:

No of sides = 8

Step-by-step explanation

Sum of angles of a polygon = (n-2)x180

Since we know the sum of angles , we can take the unknown number of sides = n .

So (n-2)x180 = 1080

     180n - 360 = 1080

     180n = 1080 + 360

     180n = 1440

            n = 1440 / 180

             n = 8

                                               

Answer 2

Answer:

Number of side of polygon is = 8

Step-by-step explanation:

According to the information provided in the question it is given as

Sum of polygon is =1080

We need to find the number of side of polygon

As per definition

In mathematics, we have a nice formula we can use to calculate the sum of the interior angles of a polygon. That is, if a polygon has n sides, then the sum of the interior angles of a polygon is given by the formula (n - 2) × 180°. We can use this formula to solve a plethora of problems in mathematics involving the interior angles of a polygon.

By putting formula

Sum of polygon= (n-2) x 180°

Where n= number of sides

$1080=(n-2)\times 180$

$(n-2)=\frac{1080}{180}$

Converting to lowest term

$(n-2)=6$

$n=6+2\\n=8$

As n is the number of side of polygon  and is =8