Home
Class 9
MATHS
In Fig. 6.17, POQ is a line. Ray OR is ...

In Fig. 6.17, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that `/_R O S=1/2(/_Q O S-/_P O S)dot`

Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|105 Videos

  • MEASURES OF CENTRAL TENDENCY

    RD SHARMA ENGLISH|Exercise All Questions|140 Videos

Similar Questions

Explore conceptually related problems

In Figure, P O Q is a line. Ray O R is perpendicular to line P Q . O S is another ray lying between rays O P\ a n d\ O R . Prove that /_R O S=1/2(/_Q O S-/_P O S)

In figure POQ is a line. Raw Oris perpendicular to line PQ .OS is another ray lying between rays OP and OR. Prove that angleROS(1)/(2) (angleQOS-anglePOS)i.e., angle1=(1)/(2)(angle2-angle3)

In Figure, P O S is a line, find x

In Fig.29, P O S is a line, find xdot

If PS is the bisector of /_Q P R and P T_|_Q R . Show that /_T P S=1/2(/_Q-/_R)dot

In Fig. 6.10, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of /_P O S and /_S O Q , respectively. If /_P O S=x , find /_R O T .

In Fig. , the side QR of △ PQR is produced to a point S. If the bisectors of /_P Q R and /_P R S meet at point T, then prove that /_Q T R=1/2/_Q P R .

In Fig. 6.44, the side QR of PQR is produced to a point S. If the bisectors of /_P Q R"\ "a n d/_P R S meet at point T, then prove that /_Q T R=1/2/_Q P R .

In Fig. 6.11, OP, OQ, OR and OS are four rays. Prove that /_P O Q+/_Q O R+/_S O R+/_P O S=360o

In Fig. 6.11, OP, OQ, OR and OS are four rays. Prove that /_P O Q+/_Q O R+/_S O R+/_P O S=360o

RD SHARMA ENGLISH-LINES AND ANGLES -All Questions
  1. An angle is 14^0 more than its complementary angle. What is its mea...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Find the angle which is equal to its complement

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |