Home
Class 8
MATHS
If the sum of the two angles of a quadri...

If the sum of the two angles of a quadrilateral is `180^@` What is the sum of the remaining two angles?

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the properties of quadrilaterals. ### Step-by-Step Solution: 1. **Understanding the Problem**: We are given that the sum of two angles of a quadrilateral is \(180^\circ\). We need to find the sum of the remaining two angles. 2. **Recall the Angle Sum Property**: The angle sum property of a quadrilateral states that the sum of all four interior angles is \(360^\circ\). ...
Promotional Banner

Topper's Solved these Questions

  • TIME AND WORK

    RD SHARMA|Exercise All Questions|46 Videos
  • UNDERSTANDING PHASE-III (SPECIAL TYPES OF QUADRILATERALS)

    RD SHARMA|Exercise All Questions|87 Videos

Similar Questions

Explore conceptually related problems

The sum of the angles of a quadrilateral is

The sum of all the angles of a quadrilateral is

The sum of all angles of a quadrilateral is

The sum of the angles of a quadrilateral is ......... .

The sum of angles of a concave quadrilateral is

Prove that the sum of the angles of a quadrilateral is 360^(@) .

The sum of the three angles of a triangle is 180^(@)

We know that the sum of the interior angles of a triangle is 180^(@). Show that the sums of the interior angles of polygons with 3,4,5,6 sides form an arithmetic progression.Find the sum of the interior angles of a 21 sided polygon.

Prove that the sum of the three angles of a triangle is 180^(@).

RD SHARMA-UNDERSTANDING PHASE-II (QUADRILATERALS)-All Questions
  1. The angles of a quadrilateral are 110^@, 72^@, 55^@ and x^@ Find the v...

    Text Solution

    |

  2. The three angles of a quadrilateral are respectively equal to 100^0,...

    Text Solution

    |

  3. A quadrilateral has three acute angles each measures 80^0dot What is...

    Text Solution

    |

  4. A quadrilateral has all its four angles of the same measure. What is...

    Text Solution

    |

  5. Two angles of a quadrilateral are of measure 65^@ and the other two an...

    Text Solution

    |

  6. Three angles of a quadrilateral are equal. Fourth angle is of measur...

    Text Solution

    |

  7. The angles of a quadrilateral are in the ratio 3:5: 9:13. Find all th...

    Text Solution

    |

  8. If the sum of the two angles of a quadrilateral is 180^@ What is the...

    Text Solution

    |

  9. In Figure, find the measure of /M P N

    Text Solution

    |

  10. theorem 1 (Exterior angle sum property) if the sides of quadrilateral ...

    Text Solution

    |

  11. In Figure, the bisectors of /A\ a n d\ /B meet at a point Pdot If /C=1...

    Text Solution

    |

  12. In a quadrilateral A B C D , the angles A ,\ B ,\ C\ a n d\ D are in t...

    Text Solution

    |

  13. In a quadrilateral A B C D ,\ C O\ a n d\ D O are the bisectors of /C\...

    Text Solution

    |

  14. Find the number of sides of a regular polygon, when each of its angl...

    Text Solution

    |

  15. Find the number of degree in each exterior angle of a regular pentag...

    Text Solution

    |

  16. The measure of angles of a hexagon are x^@, (x-5)^@,(x-5)^@,(2x-5)^@,(...

    Text Solution

    |

  17. In a convex hexagon, prove that the sum of all interior angle is equ...

    Text Solution

    |

  18. The sum of the interior angles of a polygon is three times the sum o...

    Text Solution

    |

  19. Determine the number of sides of a polygon whose exterior and interi...

    Text Solution

    |

  20. P Q R S T U is a regular hexagon. Determine each angle of P Q T .

    Text Solution

    |