Home
Class 11
MATHS
The interior angles of a polygon are in ...

The interior angles of a polygon are in arithmetic progression. The smallest angle is `120^@` and the common difference is `5^@` . Find the number of sides of the polygon.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

A polygon has 44 diagonals the number of sides of the polygon is

The number of diagonals of a polygon of n sides is-

The ratio of interior and exterior angles of a regular polygon is 3:2. Find the number of sides of the polygon.

If, the number of-diagonals of a- polygon is 44. Find the number of sides of that polygon.

In a polygon, the mesurement of least internal angle is 120^@ . If theall internal angles fohn an AP with common difference 5^@ , then find number of sides of the polygon

The number of sides of two regular polygons are in the ratio 5:4 and the difference between their interior and is 9^@ . find the number of sides in the two polygons.

The number of diagonals in a polygon is 20. The number of sides of the polygon is:

The angles of a polygon are in A.P. lying common difference 5^(@) . If the least angle be 120^(@) , find the number of sides of the polygon.

The difference between any two consecutive interior angles of a polygon is 5^@ .If the smallest angle is 120^@ , find the number of the sides of the polygon.

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If p be the first of n arithmetic means between two numbers and q be t...

    Text Solution

    |

  2. Find the centre and radius of the circle: (x+5)^2+(y-3)^2=20

    Text Solution

    |

  3. The interior angles of a polygon are in arithmetic progression. The sm...

    Text Solution

    |

  4. If a1,a2,a3,.......an are in AP where a1 gt 0foralli then the value of...

    Text Solution

    |

  5. Does there exist a GP containing 27,8 and 12 as three of its terms ? I...

    Text Solution

    |

  6. Find three numbers a,b,c between 2 & 18 such that; their sum is 25; th...

    Text Solution

    |

  7. The sum of 50 terms of the series 1+2(1+1/(50))+3(1+1/(50))^2+ is giv...

    Text Solution

    |

  8. The sum of 50 terms of the series 3/(1^2)+5/(1^2+2^2)+7/(1^2+2^2+3^2)+...

    Text Solution

    |

  9. Which term of the AP 3,10, 17,... will be 84 more than its 13th term?

    Text Solution

    |

  10. The sum of the series a-(a+d)+(a+2d)-(a+3d)+... up to (2n+1) terms is:...

    Text Solution

    |

  11. If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmet...

    Text Solution

    |

  12. Find the number of multiples of 4 lies between 10 and 250.

    Text Solution

    |

  13. Find the sum 3/(1xx2)xx1/2+4/(2xx3)xx(1/2)^2+5/(3xx4)xx(1/2)^3+ to n t...

    Text Solution

    |

  14. Find the sum of the series upto n terms ((2n+1)/(2n-1))+3((2n+1)/(2n-1...

    Text Solution

    |

  15. If k, 2(k+1), 3(k+1) are in GP, Then find the value of k.

    Text Solution

    |

  16. If the first and the nth terms of a G.P are a and b , respectively, an...

    Text Solution

    |

  17. Find the sum of first 10 evenwhole number.

    Text Solution

    |

  18. Find the sum of the natural numbers less than 100, which are divisible...

    Text Solution

    |

  19. If the terms of the A.P, sqrt(a-x),sqrt(x),sqrt(a+x) are all in integ...

    Text Solution

    |

  20. For a ,x ,>0 prove tht at most one term of the G.P. sqrt(a-x),sqrt(x),...

    Text Solution

    |