If each angle of a regular polygon is 150- then the number of sides of a polygon is

The correct option is D 12Formula for each angle of a regular polygon is ( n 2 ) × 180 #160; / n As per problem, ( n 2 ) × 180 #160; / n = 150 ...

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Standard XII

Physics

Vector Addition

If each angle...

Question

If each angle of a regular polygon is $150^{\circ}$ , then the number of sides of a polygon is

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Solution

The correct option is D 12
Formula for each angle of a regular polygon is $(n - 2) \times \frac{180}{n}$
As per problem,
$(n - 2) \times \frac{180}{n} = 150$
$(n - 2) 180 = 150 n$
$180 n - 360 = 150 n$
$30 n = 360$
$n = 12$
number of sides will be 12

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If each angle of a regular polygon is 150∘, then the number of sides of a polygon is

The correct option is D 12Formula for each angle of a regular polygon is (n−2)×180nAs per problem,(n−2)×180n=150 (n−2)180=150n180n−360=150n 30n=360 n=12number of sides will be 12

If each angle of a regular polygon is $150^{\circ}$ , then the number of sides of a polygon is

The correct option is D 12
Formula for each angle of a regular polygon is $(n - 2) \times \frac{180}{n}$
As per problem,
$(n - 2) \times \frac{180}{n} = 150$
$(n - 2) 180 = 150 n$
$180 n - 360 = 150 n$
$30 n = 360$
$n = 12$
number of sides will be 12