Question

The sum of the measures of the interior angles is 1,440 degrees. How many sides does the polygon have?

Answer 1

10 sides.

Explanation:

As we know sum of the measures of the interior angles of any polygon is represents by (x-2)180°

Therefore, total sum of interior angles = (x-2)×180°

where x is the number of sides of a particular polygon.

It is given that sum of interior angles = 1440°

1440 = (x-2) × 180°

`(1440)/(180)` = (x-2)

8 = (x-2)

x = ( 8+2) = 10

Therefore, polygon have 10 sides.