Home
Class 8
MATHS
If an angle of a parallelogram is two-th...

If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.

Text Solution

AI Generated Solution

To find the angles of the parallelogram where one angle is two-thirds of its adjacent angle, we can follow these steps: ### Step 1: Define the Angles Let the angle A be two-thirds of angle B. We can write this relationship mathematically as: \[ A = \frac{2}{3} B \] ### Step 2: Use the Property of Parallelograms In a parallelogram, the sum of adjacent angles is always 180 degrees. Therefore, we can write: ...
Promotional Banner

Topper's Solved these Questions

  • UNDERSTANDING PHASE-II (QUADRILATERALS)

    RD SHARMA|Exercise All Questions|46 Videos
  • UNDERSTANDING SHAPES-IN (POLYGONS)

    RD SHARMA|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If an angle of a parallelogram is four fifths of its adjacent angle, find the angles of the parallelogram.

If an angle of a parallelogram is two-thirds of its adjacent angle, the smallest angle of the parallelogram is

In a parallelogram, one angleis twice of its consecutiv angle. Find all the angles of the parallelogram.

One of the angle of a parallelogram is 4/(5) of its adjacent angle. Find the measure of both angles.

An angle is two-third of its complementary angle. Find the angle.

If two adjacent angles of a parallelogram ABCD are in the ratio 5:4 , find all the angles of the parallelogram.

Two adjacent angles of a parallelogram are as 1:2. Find the measures of all the angles of the parallelogram.

The ratio of measure of two adjacent angle of parallelogram is 1:2. Find the measure of all angles of the parallelogram.

Two adjacent angles of a parallelogram are in the ratio 1:5. Then all the angles of the parallelogram are

RD SHARMA-UNDERSTANDING PHASE-III (SPECIAL TYPES OF QUADRILATERALS)-All Questions
  1. In the following figures R I S K\ a n d\ C L U E are parallelograms. F...

    Text Solution

    |

  2. Two opposite angles of a parallelogram are (3x-2)^@ a n d\ \ (50-x)^...

    Text Solution

    |

  3. If an angle of a parallelogram is two-third of its adjacent angle, f...

    Text Solution

    |

  4. The measure of one angle of a parallelogram is 70^0dot What are the me...

    Text Solution

    |

  5. Two adjacent angles of a parallelogram are as 1:2. Find the measures...

    Text Solution

    |

  6. In a parallelogram A B C D ,\ /D=135^0, determine the measure of /A\ a...

    Text Solution

    |

  7. A B C D is a parallelogram in which /A=70^@dot Compute /B ,\ /C\ a n d...

    Text Solution

    |

  8. The sum of two opposite angles of a parallelogram is 130^@dot Find a...

    Text Solution

    |

  9. All the angles of a quadrilateral are equal to each other. Find the ...

    Text Solution

    |

  10. Two adjacent sides of a parallelogram is 150cm. One of its sides is gr...

    Text Solution

    |

  11. The perimeter of a parallelogram is 150cm. One of its sides is grea...

    Text Solution

    |

  12. The shorter side of a parallelogram is 4.8cm and the longer side is ...

    Text Solution

    |

  13. Two adjacent angles of a parallelogram are (3x-4)^@a n d\ (3x+10)^@dot...

    Text Solution

    |

  14. In a parallelogram A B C D , the diagonals bisect each other at Odot I...

    Text Solution

    |

  15. Find the angles marked with a question mark shown in Figure:

    Text Solution

    |

  16. The angle between the altitudes of a parallelogram, through the sam...

    Text Solution

    |

  17. In Figure, A B C D\ a n d\ A E F G are parallelograms. If /C=55^0, wha...

    Text Solution

    |

  18. In Figure, B D E F\ a n d\ D C E F are each a parallelogram. Is it tru...

    Text Solution

    |

  19. In Figure, suppose it is known that D E=D Fdot Then, is A B C isoscel...

    Text Solution

    |

  20. Diagonals of parallelogram A B C D intersect at O as shown in Figure. ...

    Text Solution

    |