An exterior angle and an interior angle of a regular polygon are in the ratio 2: 3. Find the i) measure of each exterior angle ii) number of sides in the polygon
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Correct option is
C
9
Exterior angle =
n
360
∘
(n is number of sides of a polygon)
Interior angle =
n
(n−2)180
∘
⇒
7
2
=
(n−2)180
∘
360
∘
⇒n−2=7
⇒n=9
Hence, the number of sides in the polygon
C
9
Exterior angle =
n
360
∘
(n is number of sides of a polygon)
Interior angle =
n
(n−2)180
∘
⇒
7
2
=
(n−2)180
∘
360
∘
⇒n−2=7
⇒n=9
Hence, the number of sides in the polygon
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