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Ratio of the number of sides of two regular polygons is 5 : 6 and the ratio of their each interior angle is 24 : 25. Then the number of sides of these two polygons are
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- 20, 24
- 15, 18
- 10, 12
- 5, 6
- 20, 24
Correct Option: C
Given , Ratio of the number of sides of two regular polygons = 5 : 6
and the ratio of their each interior angle = 24 : 25
Let the number of sides be 5y and 6y respectively.
| Then, | = | ||
| (2 × 6y - 4) ÷ 6y | 25 |
| 5y | = | |
| 25 | ||
| 6y |
 | we know that , Each interior angle = |  |  |  | |
| n |
| ⇒ | × | = | |||
| 5 | 6y - 2 | 25 |
| ⇒ | = | ||
| 6y - 2 | 5 |
⇒ 25y – 10 = 24y – 8
⇒ y = 10 – 8 = 2
∴ Number of sides = 10 and 12.
