Home
Class 9
MATHS
Of the three angles of a triangle, on...

Of the three angles of a triangle, one is twice the smallest and another is three times the smallest. Find the angles.

Text Solution

Verified by Experts

Let the smallest angle be `x`One angle=`2x`Another angle=`3x`We know that sum of all angles in the triangle =`180^@ `
`x + 2x +3x =180^ @`
`6x=180^@`
`x =30^@`
`2x=60^@`
`3x =90^ @`
Promotional Banner

Topper's Solved these Questions

  • TABULAR REPRESENTATION OF STATISTICAL DATA

    RD SHARMA|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

Of the three angles of a triangle, one is twice the smallest and another one is thrice the smallest. Find the angles.

Of the three angles of a triangle,one is twice the smallest and another is three xx the smallest.Find the angles.

Of the three angles of a triangle,one is twice the smallest and another is three xx the smallest.Find the angles.

If an angle is three times of its supplement,find the angles.

The angles of a triangle are in the ratio 2:4:3. The smallest angle of the triangle is.

If the angles if a triangle are in A.P and tangent of the smallest angle is 1 then find all the angles of the triangle .

The three angles of a triangle are equal to one another.What is the measure of each of the angles?

The angles of a triangle are in the ratio 3:4:5. Find the smallest angle.

RD SHARMA-TRIANGLE AND ITS ANGLES-All Questions
  1. In a A B C ,\ /B=105^0,\ /C=50^0, Find /A

    Text Solution

    |

  2. The sum of two angles of a triangle is equal to its third angle. De...

    Text Solution

    |

  3. Of the three angles of a triangle, one is twice the smallest and an...

    Text Solution

    |

  4. If the angle of a triangle are in the ratio 2:3:4, determine three ...

    Text Solution

    |

  5. The sum of two angles of a triangle is 80^0 and their difference is...

    Text Solution

    |

  6. In a A B C , if 2/A=3/b=6\ /c , determine /A ,\ /B\ a n d\ /C

    Text Solution

    |

  7. A , B , C are the three angles of a triangle. If A-B=15^@,\ B-C=30^@...

    Text Solution

    |

  8. In Figure, A B D C . If x=(4y)/3a n d\ y=(3z)/8, find /B C D ,\ /A B ...

    Text Solution

    |

  9. A triangle A B C is right angles at AdotA L is drawn perpendicular ...

    Text Solution

    |

  10. In Figure P S\ is the bisector of /Q P R\ a n d\ P T\ |Q R . Show tha...

    Text Solution

    |

  11. If two parallel lines are intersected by a transversal, prove that ...

    Text Solution

    |

  12. In Figure, T Q\ a n d\ T R are the bisectors of /Q\ a n d\ /R respecti...

    Text Solution

    |

  13. In Figure, m\ and\ n are two plane mirrors perpendicular to each oth...

    Text Solution

    |

  14. In A B C ,\ /B=45^0,\ /C=55^0 and bisector of /A meets B C at a point...

    Text Solution

    |

  15. A ,B ,C , are three angles of a triangle. If A-B=15^@,B-C=30^@, find /...

    Text Solution

    |

  16. In a A B C , if /A=55^0,\ /B=40^0, find /C

    Text Solution

    |

  17. If the angles of a triangle are in the ratio 1:2:3, determine three...

    Text Solution

    |

  18. The angles of a triangle are (x-40)^0,\ (x-20)^0\ a n d\ (1/2x-10)^...

    Text Solution

    |

  19. The angle of a triangle are arranged in ascending order of magnitud...

    Text Solution

    |

  20. Two angles of a triangle are equal and the third angle is greater t...

    Text Solution

    |