Question

3) How many sides does a regular polygon have if the measure of
240?​

Answer 1

Answer:

Here, let the number of sides of the polygon be n

So, the number of exterior angles is n

Since it is a regular polygon, each exterior angles are equal to one another.

∴ The sum of the exterior angles =360

o

∴ Each angle =θ=

n

360

o

⟹n= θ360 o

Here θ=24

o

∴n=

24

o

360

o

=15

Hence, the answer is 15.

Answer 2

Answer:

polygon = 5 sides

let the number of side be x

240 = 5 x

x = 240 / 5

x = 48

each side = 48 cm