Question

a regular polygon and irregular polygon are in the ratio of 1:5​

Answer 1

Answer:

Let the number of sides of two regular

polygons are 5n and 6n respectively and

their each interior angle are 24x

∘

and 25x

∘

respectively

Then as per question--

∵

(2×6n−4)×90

∘

(2×5n−4)×90

∘

=

6n×25x

∘

5n×24x

∘

⇒

12n−4

10n−4

=

5

4

⇒ 50n−20=48n−16

⇒ (50−48)n=20−16

∴ n=2

Hence the actual number of sides of these

polygons are = 10 and 12