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PRANJUL MISHRA

· started a discussion

· 1 Months ago

maths (Question: 517364.0 )

give solution

Question:

Number of sides of two regular polygons are in the ratio 1 : 2 and each of their interior angles are in the ratio 2 : 3. The number of sides of the polygons are ?

Options:
A)

4 and 6

B)

4 and 8

C)

6 and 9

D)

5 and 10

Solution:

Ans: (b)Given ratio of numbers of sides of two regular polygon is 1:2.

Let numbers of sides be a, 2a .
Interior angle of regular polygon with a sides=180°-360°/a
Interior angle of regular polygon with 2a sides=180°-360°/2a
According to question -
((180°-360°/a))/((180°-180°/a))=2/3
(a-2)/(a-1)=2/3
3a-6=2a-2
a=4
Hence required regular polygons are square and octagon.

so no.of sides are 4 & 8

Knowledge Expert

· commented

· 1 Months ago

Dear student
We have updated the solution.

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