Question

12.The exterior angle of a regular polygon is equal to the one fourth of an interior angle of a regular hexagon. How many sides does the polygon have?Required to answer.

10
12
8
9

Answer 1

Answer:

ANSWER

sum of all interior ∠s of a regular polygon = 180−x180

∘

(x−2)

each interior ∠=

x

180

∘

(x−2)

sum of all exterior ∠=360

∘

Each exterior ∠=360

∘

/x

Given

x

360

∘

=

4

1

(

x

180

∘

(x−2)

)

⇒x=10