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Q.

Find the measure of each exterior angle of a regular pentagon.

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a

72°

b

70° 

c

60°

d

90°

answer is C.

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Detailed Solution

The given regular polygon is pentagon.
As we are aware of the relation between the number of sides and an exterior angle of a regular polygon, i.e,  measure of each exterior angle = 360 ∘  Number of sides   .
We know that the number sides in a pentagon = 5.
⇒ Each exterior angle = 360 ∘ 5 ⇒ Each exterior angle = 72 ∘  
The numbers of degrees in each exterior angle of a regular pentagon is 72°.
Hence, the correct option is 3.
 
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Find the measure of each exterior angle of a regular pentagon.