Home
Class 9
MATHS
The side BC of DeltaABC is product to N....

The side BC of `DeltaABC` is product to N. bisector of angle meets BC at M. Prove that `angleABC+angleACN=2angleAMC`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINES AND ANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise (very Short Answer Questions )|10 Videos
  • LINES AND ANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise (short Answer Questions)|12 Videos
  • LINES AND ANGLES

    NAGEEN PRAKASHAN|Exercise Exercise 6 B|16 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise|12 Videos
  • NUMBER SYSTEM

    NAGEEN PRAKASHAN|Exercise Revision Exercise (short Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

The side BC of a triangle ABC is produced to D, bisector of the angle ABC and ACD meet at P. If angleBPC =x^(@) and angleBAC = y^(@) , then which one of the following is correct ?

ABC is a right triangle with AB = AC.If bisector of angle A meet BC at D then prove that BC =2 AD .

D is a point on the side BC of a DeltaABC such that AD bisects angle BAC . Then

The side BC of DeltaABC is produced to D. If angleACD=114^(@) and angleABC=((1)/(2)) angleBAC , what is the value (in degrees) of angleBAC ?

The sides BC of ABC is product to a point D The bisector of /_A meets side BC in L. If /_ABC=30^(@) and /_ACD=115^(@), find /_ALC

Let ABC be a triangle such that AB = 15 and AC = 9. The bisector of angleBAC meets BC in D. If angleACB = 2angleABC , then BD is

In a tringle ABC, AB = AC and bisector of angle A meets BC at D. Prove that : (i) DeltaABD cong DeltaACD (ii) AD is perpendicular to BC.

The side BC of a ABC is produced,such that D is one ray BC. The bisector of /_A meets BC in L as shown in Figure.Prove that /_ABC+/_ACD=2/_ALC

The side BC of a DeltaABC is extended to D. If angleACD = 120^(@) and angleABC =(1)/(2)angleCAB , then the value of angleABC is

In DeltaABC , the external angle bisector of angleA is parallel to BC then what is DeltaABC ?

NAGEEN PRAKASHAN-LINES AND ANGLES-Exercise 6 C
  1. Angles of a triangle are (3x)^(@),(2x-7) and (4x-11)^(@) . Find the me...

    Text Solution

    |

  2. Prove that measure of each angle of an equilateral triangle is 60^0...

    Text Solution

    |

  3. Find the x and y from the adjooining figure.

    Text Solution

    |

  4. In a DeltaABC, angleA=2 angleB=3 angleC, find each of the triangle.

    Text Solution

    |

  5. In DeltaABC, angleA=x+15^(@),angleB=x and angleC=2x-35^(@) find, each ...

    Text Solution

    |

  6. In DeltaABC, bisectors of angleB and angleC interesct each other at po...

    Text Solution

    |

  7. An angle of a triangle mesures 68^(@) and the other two angles differ ...

    Text Solution

    |

  8. Find the value of x form the adjoining diagram.

    Text Solution

    |

  9. In DeltaABC sides AB and C are produced to D and E respectively. Bisec...

    Text Solution

    |

  10. In triangle ABC,the bisector of interior angle A and the bisector angl...

    Text Solution

    |

  11. From the adjoining figure prove that angleA+angleB+angleC+angleD+angle...

    Text Solution

    |

  12. The side BC of DeltaABC is product to N. bisector of angle meets BC at...

    Text Solution

    |

  13. Bisectors of angles A and B of a parallelogram ABCD meet at point M. P...

    Text Solution

    |

  14. Prove that bisectors of any two adjacent angles of a rhombus from a ri...

    Text Solution

    |

  15. Triangle ABC is right angles at B. Internet bisectors of acute angles ...

    Text Solution

    |

  16. Bisectors of angles A and D of a quadrilateral ABCD meet at P. Prove t...

    Text Solution

    |

  17. In the given figure, AD is altitude and AE is bisector of angle BAC of...

    Text Solution

    |

  18. In DeltaABC, angleA-angleB=16^(@) and angleC-angleA=34^(@)=34^(@) , fi...

    Text Solution

    |

  19. In a right angled triangle ABC, angleB=90^(@), p is a point on BA prod...

    Text Solution

    |

  20. In the adjoining figure, AB||CD. If the angleBAE=25^(@) and angleCDE=...

    Text Solution

    |