Home
Class 9
MATHS
It is given that ∠XYZ = 64° and XY is pr...

It is given that ∠XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP.

Text Solution

Verified by Experts

We can draw the figure as per the given details.
Please refer to the video for figure
. We are given,
`/_XYZ = 64^@`
So,`/_ZYP = 180-64 = 116^@`
As `YQ` bisects `/_ZYP`,
`/_QYP = /_QYZ = 116/2 = 58^@`
So,
reflex`/_QYP = 360-58 = 302^@`
...
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

It is given that /_XYZ=64^(@) and XY is produced to point P .Draw a figure from the given information.If ray YQ bisects find find reflex angleQYP

Given that angle xyz=64^(@) and line xy is produced to point P draw a diagram from the given point.

To draw a figure from the given information : Sequence : 1,3,6,10….

From the information given in the figure, find the measure of /_AEC .

In the figure given figure, PQRS is a square inscribed in a circle of radius 4 cm. PQ is produced till point Y. From Y a tangent in drawn to the circle at point R (QR=QY). What is the length (in cm) of SY?

Ramesh goes 24 km to south, then turns and goes to west for 10km (i) From the given information, drw a proportionate figure. (ii) If starting point and end point are joined, then which type triangle do we get? (iii) At last how far is he from the starting point?

P is a point equidistant from two lines l and m intersecting at a point A, as shown in the given figure. Show that the line AP bisects tha angle between them.

RD SHARMA-LINES AND ANGLES -All Questions
  1. If ray O C stands on line A B such that /A O C=/C O B , then show that...

    Text Solution

    |

  2. In Fig. 6.16, if x+y=w+z, then prove that AOB is a line.

    Text Solution

    |

  3. It is given that ∠XYZ = 64° and XY is produced to point P. Draw a figu...

    Text Solution

    |

  4. Prove that ,The bisectors of base angles of a triangle cannot enclos...

    Text Solution

    |

  5. Name the pairs of adjacent angles in the figures given below :

    Text Solution

    |

  6. In figure, DeltaO D C DeltaO B A ,/B O C=125^oand /C D O=70^o. Find...

    Text Solution

    |

  7. O A\ =\ O Ba n d\ O D\ =\ O C. Show that (i) DeltaA O D~=DeltaB O C a...

    Text Solution

    |

  8. A B C D is a cyclic quadrilateral in which: B C A D ,\ /A D C=110^0...

    Text Solution

    |

  9. How many pairs of adjacent angles are formed when two lines intersec...

    Text Solution

    |

  10. How many pairs of adjacent angles, in all, can you name in Figure.

    Text Solution

    |

  11. In the figure ,find the value of x.

    Text Solution

    |

  12. In figure, O is the centre of the circle angleBCO=30^(@) . Find X an...

    Text Solution

    |

  13. In Figure, ray O S stand on a line P O Qdot Ray O R and ray O T are an...

    Text Solution

    |

  14. In Figure, A C B is a line such that /D C A=5x\ a n d\ /D C B=4xdot Fi...

    Text Solution

    |

  15. Given /P O R=3x a n d /Q O R=2x+10 , find the value of x for which P O...

    Text Solution

    |

  16. In Figure, a is a greater than b by one third of a right-angle. Find...

    Text Solution

    |

  17. What value of y would make A O B a line in Figure, if /A O C=4y\ a n d...

    Text Solution

    |

  18. If Figure, /A O F\ a n d\ /F O G form a linear pair. /E O B=\ /F O C=9...

    Text Solution

    |

  19. In Figure, O P ,\ O Q ,\ O R\ a n d\ O S are four rays. Prove that /...

    Text Solution

    |

  20. In Figure, ray O S stand on a line P O Qdot Ray O R and ray O T are an...

    Text Solution

    |