Question

If the sum of the interior angles of a regular polygon measures 1440o, how many sides does the polygon have

Answer 1

The formula for determining the number of sides a polygon has is-

[n-2] × 180 ( where 'n' is the no. Of sides)

ACCORDING TO THE QUESTION.

Formula for calculating sides= sum of interior angles.

[n-2] × 180= 1440°

180n - 360 = 1440°

180n= 1440 +360

n = 1800 /180

n= 10

Therfore, the polygon has 10 sides i.e it is a decagon.