Question

How many sides does a polygon have if the sum of the interior angles is 2240
?

Answer 1

90(2n-4)=Sum of interiors

• 2240=90(2n-4)
• 2240=180n-360
• 180n=2600
• n=2600/180
• n=14.4=14

Answer 2

Note: it seems a typo, should be 2340 instead of 2240

Sum of interior angles of a polygon:

• S = 180(n - 2)

We have:

• S = 2340

Find n:

• 180(n - 2) = 2340
• n - 2 = 2340/180
• n - 2 = 13
• n = 15

15 sides