Question

If the sum of the measures of the interior angle of a polygon is 3240 degree, find the number of sides of the polygon?
​

Answer 1

Answer:

n = 20

Step-by-step explanation:

We know that, the sum of all the interior angles of a polygon with sides n is equals to [180(n-2)].

According to the question, 180(n-2) = 3240

=> n-2 = 3240/180

=> n = 18+2

=> n = 20

Hope this helps.....

Answer 2

Answer:

There is a formula to follow which is:

(

n

−

2

)

180

=

total interior angle degrees. So we can plug in the known value:

(

n

−

2

)

180

=

3240

Rewritten as:

180

n

−

360

=

3240

Add 360 to both sides and divide by 180 to get:

n=20

There we go, 20 sides.