Home
Class 9
MATHS
Two supplementary angles are in the rati...

Two supplementary angles are in the ratio 2:3. Find the angles.

Text Solution

Verified by Experts

Let the two angles be `2x` and `3x` in degrees. Then,
`2x + 3x = 180^@`
`5x = 180^@ `
`x = 36^ @ `
Thus, the two angles are `2x = 2 × 36^@`= `72^@`
and `3x = 3 × 36= 108^@`
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA|Exercise All Questions|104 Videos

  • MEASURES OF CENTRAL TENDENCY

    RD SHARMA|Exercise All Questions|141 Videos

Similar Questions

Explore conceptually related problems

Two supplementary angles are in the ratio 4:5. Find the angles.

Two supplementary angles are in the ratio 2:3. Find the smallest angle.The difference in the measures of two supplementary angles is 80 , find the measures of the angles

13.Two supplementary angles are in the ratio 3:2 Find the angles.14 Two complementary angles are in the ratio 4:5. Find the angles.

13.Two supplementary angles are in the ratio 3:2 Find the angles.14 Two complementary angles are in the ratio 4:5. Find the angles.

Two supplementary angles are in ratio 2:3. Find the angles

Two complementary angles are in the ratio 4 : 5 . Find the angles.

Two complementary angles are in the ratio 5:4. Find the angles.

RD SHARMA-LINES AND ANGLES -All Questions
  1. An angle is equal to five times its complement. Determine its measu...

    Text Solution

    |

  2. An angle is equal to one-third of its supplement. Find its measure.

    Text Solution

    |

  3. Two supplementary angles are in the ratio 2:3. Find the angles.

    Text Solution

    |

  4. The supplement of an angle is one-third of itself. Determine the an...

    Text Solution

    |

  5. Write the complement of each of the following angles: (i) 20^0 (ii) ...

    Text Solution

    |

  6. Write the supplement of each of the following angles: (i) 54^0 (ii) ...

    Text Solution

    |

  7. If an angle is 28^0 less than its complement, find its measure.

    Text Solution

    |

  8. If an angle is 30^0 more than one half of its complement, find the ...

    Text Solution

    |

  9. Two supplementary angles are in the ratio 4:5 . Find the angles.

    Text Solution

    |

  10. Two supplementary angles differ by 48^0 . Find the angles.

    Text Solution

    |

  11. An angle is equal to 8 times its complement. Determine its measure.

    Text Solution

    |

  12. If the angles (2x-10)^0 and (x-5)^0 are complementary angles, find xdo...

    Text Solution

    |

  13. If the complement of an angle is equal to the supplement of the thr...

    Text Solution

    |

  14. If an angle differs from its complement by 10^0 , find the angle.

    Text Solution

    |

  15. If the supplement of an angle is three times its complement, find t...

    Text Solution

    |

  16. If the supplement of an angle is two-third of itself. Determine the...

    Text Solution

    |

  17. An angle is 14^0 more than its complementary angle. What is its mea...

    Text Solution

    |

  18. The measure of an angle is twice the measure of its supplementary a...

    Text Solution

    |

  19. The bisectors of base angles of a triangle cannot enclose a right an...

    Text Solution

    |

  20. If the bisectors of the base angles of a triangle enclose an angle o...

    Text Solution

    |