Question

The ratio between the no. Of sides of 2 regular polygon is 1:2 and ratio between interior angles is 2:3. find sides of polygon?

Answer 1

Given ratio of numbers of sides of two regular polygin is 1:2.
Let numbers of sdes 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
Acording 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.

Therefore, the correct answer is square and octagon.


Hope that helped you.
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Thanks.

Answer 2

u type wrong ...i have tried 2-3 times ...after that i found mistake that ratio of exterior to interior is given ... please mark it as a brainliest answer