Home
Class 8
MATHS
Find the sum of exterior angles obtained...

Find the sum of exterior angles obtained on producing, in order, the sides of a polygon with:
(i) 7 sides (ii) 10 sides (iii) 250 sides

Text Solution

AI Generated Solution

The correct Answer is:
To find the sum of the exterior angles of polygons with different numbers of sides, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Exterior Angles**: The sum of the exterior angles of any polygon is always 360 degrees, regardless of the number of sides it has. 2. **Apply the Concept to Each Part of the Question**: - (i) For a polygon with **7 sides**: The sum of exterior angles = 360 degrees. - (ii) For a polygon with **10 sides**: The sum of exterior angles = 360 degrees. - (iii) For a polygon with **250 sides**: The sum of exterior angles = 360 degrees. 3. **Conclude the Results**: Therefore, for each polygon: - The sum of exterior angles for the 7-sided polygon is **360 degrees**. - The sum of exterior angles for the 10-sided polygon is **360 degrees**. - The sum of exterior angles for the 250-sided polygon is **360 degrees**. ### Final Answer: - (i) 360 degrees - (ii) 360 degrees - (iii) 360 degrees
Promotional Banner

Topper's Solved these Questions

  • UNDERSTANDING SHAPES

    ICSE|Exercise Exercise 16B|20 Videos
  • UNDERSTANDING SHAPES

    ICSE|Exercise Exercise 16C|15 Videos
  • UNDERSTANDING SHAPES

    ICSE|Exercise Exercise 16C|15 Videos
  • SURFACE AREA, VOLUME AND CAPACITY.

    ICSE|Exercise EXERCISE ( E ) |11 Videos

Similar Questions

Explore conceptually related problems

Calculate the sum of angles of a polygon with : (i) 10 sides (ii) 12 sides (iii) 20 sides

How many diagnals are there in a polygen of (i) 8 sides (ii) 10 sides?

What is a regular polygon? State the name of a regular polygon of (i) 3 sides (ii) 4 sides (iii) 6 sides

Express in radians and also in degrees the angle of a regular polygon of (1) 40 sides, (ii) n sides.

What is the sum of the interior angles of an octagon (eight - sided polygon)?

Find the measure of each exterior angle of a regular polygon of(i) 9 sides (ii) 15 sides

A regular polygon of 10 sides is constructed. Triangles are formed joining vertices of the polygon. Find the number of triangles (i) if two sides of trinangle coincide with the sides of polygon. (ii) if only one side of triangle coincide with the side of polygon.

Find the number of sides of a polygon having 44 diagonals.

Find the number of diagonals of a 16-sided polygon.

Find the numbers of diagonals in the polygon of n sides.

ICSE-UNDERSTANDING SHAPES-Exercise 16A
  1. State which of the following are polygons: If the given figure is a ...

    Text Solution

    |

  2. State which of the following are polygons: If the given figure is a ...

    Text Solution

    |

  3. State which of the following are polygons: If the given figure is...

    Text Solution

    |

  4. State which of the following are polygons: If the given figure is...

    Text Solution

    |

  5. State which of the following are polygons: If the given figure is...

    Text Solution

    |

  6. Calculate the sum of angles of a polygon with : (i) 10 sides (ii) ...

    Text Solution

    |

  7. Find the number of sides in a polygon if the sum of its interior angle...

    Text Solution

    |

  8. Is it possible to have a polygon, whose sum of interior angles is : ...

    Text Solution

    |

  9. (i) If all the angles of a hexagon are equal, find the measure of each...

    Text Solution

    |

  10. Find the sum of exterior angles obtained on producing, in order, the s...

    Text Solution

    |

  11. The sides of a hexagon are produced in order. If the measures of exter...

    Text Solution

    |

  12. The interior angles of a pentagon are in the ratio 4:5:6:7:5. Find eac...

    Text Solution

    |

  13. Two angles of a hexagon are 120^@ and 160^@. If the remaining four ang...

    Text Solution

    |

  14. The figure, given below, shows a pentagon ABCDE with sides AB and ED p...

    Text Solution

    |

  15. Two angles of a polygon are right angles and the remaining are 120^@ e...

    Text Solution

    |

  16. In a hexagon, ABCDEF, side AB is parallel to side FE and angleB : angl...

    Text Solution

    |

  17. The angle of a hexagon are x+10^@, 2x+20^@, 2x-20^@, 3x-50^@, x+40^@ a...

    Text Solution

    |

  18. In a pentagon, two angles are 40^@ and 60^@ and the rest are in the ra...

    Text Solution

    |