Home
Class 9
MATHS
In the given figure AB||CD and CD||EF. I...

In the given figure `AB||CD` and `CD||EF`. If `y : z=3 : 7` then `x=?`

A

`108^(@)`

B

`126^(@)`

C

`162^(@)`

D

`63^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
`x+y=180^(@), y+z=180^(@)`. ltbgt Let `y=(3p)^(@)` and `z=(7p)^(@)`. Then
`3p+7p=180 implies p=18`.
`:. Y=54^(@), z=126^(@)` and `x=(180^(@)-54^(@))=126^(@)`
Promotional Banner

Topper's Solved these Questions

  • LINES AND ANGLES

    RS AGGARWAL|Exercise Exercise 7C|24 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|24 Videos

  • MEAN , MEDIAN AND MODE OF UNGROUPED DATA

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|18 Videos

Similar Questions

Explore conceptually related problems

In the given figure , AB||CD . Find x.

In the given figure, if AB||CD,CD||EF and y:z=3:7 , then find x.

In the given figure show that CD||EF

In the given figure find z if AB=CD

In given figure,show that AB|CD

In the given figure, AB||CD and BC||ED . Find the value of x.

In the given figure, AB||CD . Find the value of x.

In the given figure, AB||CD . Find the value of x.

In the given figure, AB||CD . Find the value of x.

RS AGGARWAL-LINES AND ANGLES-Multiple Choice Questions (Mcq)
  1. An angle which measures more than 180^(@) but less than 360^(@), is ca...

    Text Solution

    |

  2. The measure of an angle which is five times its complement. The angle ...

    Text Solution

    |

  3. Two complementary angles are such that twice the measure of the one is...

    Text Solution

    |

  4. In the given figure, AOB is a straight line. If angleAOC=4x^(@) and an...

    Text Solution

    |

  5. In the given figure, AOB is a straight line. If angleAOC=(3x+10)^(@) a...

    Text Solution

    |

  6. In the given figure, AOB is a straight line. If angleAOC=(3x-10)^(@), ...

    Text Solution

    |

  7. Which of the following statements is false ?

    Text Solution

    |

  8. An angle is one fifth of its supplement. The measure of the angle is

    Text Solution

    |

  9. In the adjoining figure, AOB is a straight line. If x:y:z=4 : 5 : 6, t...

    Text Solution

    |

  10. In the given figure, straight lines AB and CD intersect at O. If angle...

    Text Solution

    |

  11. straight lines AB and CD intersect at O. If angleAOC+angleBOD=130^(@) ...

    Text Solution

    |

  12. In the given figure, AB is a mirror, PQ is the incident ray and QR is ...

    Text Solution

    |

  13. In the given figure, AB||CD. If angleBAO=60^(@) and angleOCD=110^(@) t...

    Text Solution

    |

  14. In the given figure, AB||CD. If angleAOC=30^(@) and /OAB=100^(@) then ...

    Text Solution

    |

  15. In the given figure, AB||CD. If angleCAB=180^(@) and angleEFC=25^(@) t...

    Text Solution

    |

  16. In the given figure AB||CD and CD||EF. If y : z=3 : 7 then x=?

    Text Solution

    |

  17. In the given figure, AB||CD. If angleAPQ=70^(@) and anglePRD=120^(@) t...

    Text Solution

    |

  18. In the given figure, AB||CD. If angleEAB=50^(@) and angleECD=60^(@) th...

    Text Solution

    |

  19. In the given figure, angleOAB=75^(@), angleOBA=55^(@) andangleOCD=100^...

    Text Solution

    |

  20. In the adjoining figure, what is the value of y ?

    Text Solution

    |