Home
Class 9
MATHS
The measure of an angle is twice the mea...

The measure of an angle is twice the measure of its supplementary angle. Find its measure.

Text Solution

Verified by Experts

Let the angle be `x`
The supplement`=(180−x)^@`
According to the question:
`x=2(180−x)^@`
`3x=360^@`
`x=120^@`
`therefore` The angle`=120^@`
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

The measure of an angle is twice the measure of its supplementary angle. Then, the measure of that angle is .............

The measure of an angle is four times the measure of its complementary angle. Then, the measure of that angle is ............

The measure of an angle which is four times its supplement is

Find the measure of an angle which forms a pair of supplementary angles with itself.

The measure of an angle is five times its complement. The angle measures.

Angles A and B are complementary and the measure of angle A is twice the measure of angle B. Find the measures of angles A and B

find the measure of the compliment of an angle

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

The measure of an angle is 3 xx its supplement,then find an angle.

RD SHARMA-LINES AND ANGLES -All Questions
  1. The measure of an angle is twice the measure of its supplementary ang...

    Text Solution

    |

  2. In Figure, if x+y=w+z , then prove that A O B is a line Fig.

    Text Solution

    |

  3. In Fig. 6.11, OP, OQ, OR and OS are four rays. Prove that /P O Q+/Q ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Two supplementary angles differ by 34^0 . Find the angles.

    Text Solution

    |

  7. In Fig. 6.10, ray OS stands on a line POQ. Ray OR and ray OT are ang...

    Text Solution

    |

  8. If the angles (2x-10)^@ and (x-5)^@ are complementary angles, find x.

    Text Solution

    |

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

    Text Solution

    |

  10. If an angle is 28^@ less than its complement, find its measure.

    Text Solution

    |

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

    Text Solution

    |

  12. Lines P Q and R S intersect each other at point Odot If /P O R:/R O Q=...

    Text Solution

    |

  13. An angle is 14^@ more than its complementary angle. What is its measur...

    Text Solution

    |

  14. If an angle differs from its supplement by 10^@ , find the angle.

    Text Solution

    |

  15. In Fig. 6.17, POQ is a line. Ray OR is perpendicular to line PQ. OS ...

    Text Solution

    |

  16. Find the angle which is equal to its complement

    Text Solution

    |

  17. Find the measure of an angle which forms a pair of supplementary ang...

    Text Solution

    |

  18. Two supplementary angles differ by 34^0 . Find the angles.

    Text Solution

    |

  19. An angle is equal to five times its complement. Determine its measu...

    Text Solution

    |

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

    Text Solution

    |