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Calculate the number of sides of a regul...

Calculate the number of sides of a regular polygon, if
(i) its interior angle is five times its exterior angle.
(ii) the ratio between its exterior angle and interior angle is 2:7.
(iii) its exterior angle exceeds its interior angle by `60^@`.

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The correct Answer is:
(i) 12 (ii) 9 (iii) 3
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ICSE-UNDERSTANDING SHAPES-Exercise 16B
  1. Fill in the blanks:

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  2. Find the number of sides in a regular polygon, If its each interior an...

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  3. Find the number of sides in a regular polygon, if its each exterior an...

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  4. Is it possible to have a regular polygon whose each interior angle is ...

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  5. Is it possible to have a regular polygon whose each exterior angle is ...

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  6. Find the number of sides in a regular polygon, if its interior angle i...

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  7. The exterior angle of a regular polygon is one-third of its interior a...

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  8. The measure of each interior angle of a regular polygon is five times ...

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  9. The ratio between the interior angle and the exterior angle of a regul...

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  10. The ratio between the exterior angle and the interior angle of a regul...

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  11. The sum of interior angles of a regular polygon is twice the sum of it...

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  12. AB, BC and CD are three consecutive sides of a regular polygon. If the...

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  13. Two alternate sides of a regular polygon, when produced, meet at right...

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  14. In a regular pentagon ABCDE, draw a diagonal BE and then find the meas...

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  15. The difference between the exterior angles of two regular polygons, ha...

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  16. If the difference between the exterior angle of an( n )sided regular p...

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  17. The ratio between the number of sides of two regular polygons is 3 : 4...

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  18. Three of the exterior angles of a hexagon are 40^@, 51^@ and 86^@. If ...

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  19. Calculate the number of sides of a regular polygon, if (i) its inter...

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  20. The sum of interior angles of a regular polygon is twice the sum of it...

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