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

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 `angle ROS=1/2 (angle QOS-angle POS)`.

Promotional Banner

Topper's Solved these Questions

  • LINES AND ANGLES

    MODERN PUBLICATION|Exercise EXERCISE|151 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    MODERN PUBLICATION|Exercise EXERCISE|151 Videos
  • MODEL TEST PAPER 1

    MODERN PUBLICATION|Exercise EXAMPLE|9 Videos

Similar Questions

Explore conceptually related problems

In Fig. 6.15, angle PQR = angle PRQ , then prove that angle PQS = angle PRT .

In Fig. 6.10, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of angle POS and angle SOQ , respectively. If angle POS = x , find angle ROT .

In Fig. 6.11, OP, OQ, OR and OS are four rays. Prove that angle POQ + angle QOR + angle SOR + angle POS = 360^@ .

In fig. angleABC=angleACB and angle3=angle4 . Prove that angle1=angle2

In Fig. 6.44, the side QR of triangle PQR is produced to a point S. If the bisectors of angle PQR and angle PRS meet at point T, then prove that angle QTR =1/2 angle QPR .

In Fig. 6.9, lines PQ and RS intersect each other at point O. If angle POR : angle ROQ = 5 : 7 , find all the angles.

In the fig. RT=TS, angle1=2angle2 and angle4=2angle3 . Prove that triangleRBTequivtriangleSAT

MODERN PUBLICATION-LINES AND ANGLES-EXERCISE
  1. In Fig. 6.17, POQ is a line. Ray OR is perpendicular to line PQ. OS is...

    Text Solution

    |

  2. Find the complement of each of the following angles: 25^@

    Text Solution

    |

  3. Find the complement of each of the following angles: 40^@

    Text Solution

    |

  4. Find the complement of each of the following angles: 58^@

    Text Solution

    |

  5. Find the complement of each of the following angles: 77^@

    Text Solution

    |

  6. Find the supplement of each of the following angles: 54^@

    Text Solution

    |

  7. Find the supplement of each of the following angles: 138^@

    Text Solution

    |

  8. Find the supplement of each of the following angles: 14^@

    Text Solution

    |

  9. Find the supplement of each of the following angles: 172^@

    Text Solution

    |

  10. Find the measure of an angle, which is 36^@ is less than its complemen...

    Text Solution

    |

  11. Find the measure of an angle, which is 36^@ more than its complement.

    Text Solution

    |

  12. Find the measure of an angle which is 36^@ is less than its suplement.

    Text Solution

    |

  13. Find the measure of an angle, which is 36^@ is less than its complemen...

    Text Solution

    |

  14. If the angles (2x-10)^@ and (x-5)^@ are complementary angles. Find x.

    Text Solution

    |

  15. Find the measure of angle, if seven times its complement is 10^@ less ...

    Text Solution

    |

  16. If an angle differs from its complement by 10^@, find its angle.

    Text Solution

    |

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

    Text Solution

    |

  18. Find the angle which is double its complement.

    Text Solution

    |

  19. Find the angles which is five times its supplement.

    Text Solution

    |

  20. Two complementary angles are in the ratio of 4:5. find the angles.

    Text Solution

    |

  21. Two supplementary angles are in the ratio 4:5. find the angles.

    Text Solution

    |