Home
Class 9
MATHS
In A B C ,\ /A=100^0a n d\ A B=A Cdot F...

In ` A B C ,\ /_A=100^0a n d\ A B=A Cdot` Find `/_B\ a n d\ /_C`

Text Solution

AI Generated Solution

To solve the problem, we need to find angles B and C in triangle ABC, where angle A is given as 100 degrees and sides AB and AC are equal. ### Step-by-Step Solution: 1. **Identify Given Information:** - Angle A = 100 degrees - AB = AC (This means triangle ABC is isosceles with AB and AC as the equal sides) ...
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA|Exercise All Questions|306 Videos
  • CONSTRUCTION

    RD SHARMA|Exercise All Questions|29 Videos

Similar Questions

Explore conceptually related problems

A B C D is a cyclic quadrilateral in which: B C A D ,\ /_A D C=110^0\ a n d\ /_B A C=50^0dot Find /_D A C /_D B C=80^0\ a n d\ /_B A C=40^0dot Find /_B C D /_B C D=100^0a n d\ /_A B D=70^0 find /_A D B

In a parallelogram A B C D , the diagonals bisect each other at Odot If /_A B C=30^0,\ /_B D C=10^0a n d\ /_C A B=70^0, Find: /_D A B ,\ /_A D C ,\ /_B C D ,\ /_A O D ,\ /_D O C ,\ /_B O C ,\ /_A O B ,\ /_A C D ,\ /_C A B ,\ /_A D B

In A B C , if /_A=100^0, A D bisects /_A a n d /_A D _|_B C . Then, /_= 50^0 (b) 90^0 (c) 40^0 (d) 100^0

In square A B C D ,\ P\ a n d\ Q are mid-point of A B\ a n d\ C D respectively. If A B=8c m\ a n d\ P Q\ a n d\ B D intersect at O , then find area of O P B

In Fig.81, side B C of A B C has been produced to D and C E B Adot If /_A B C=65^0,\ /_B A C=55^0, find /_A C E ,\ /_E C D\ a n d\ /_A C Ddot

In Fig. 71, if A B C D\ a n d\ C D E F ,\ find \ /_A C E

In a \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respectively such that L M B Cdot Prove that: a r\ (\ L B C)=\ a r\ (\ M B C)

In a \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respectively such that L M B Cdot Prove that: a r\ (\ L C M)=a r\ ( L B M)

In a \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respectively such that L M B Cdot Prove that: a r\ (\ L O B)=a r\ (\ M O C)

In Figure, A B C D is a parallelogram in which /_D A O=40^0, /_B A O=35^0 a n d /_C O D=65^0dot Find: /_A B O (ii) /_O D C (iii) /_A C B (iv) /_C B D

RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In a A B C , it is given that A B=A C and the bisectors of /B a...

    Text Solution

    |

  2. A B C is a triangle in which /B =2 /CdotD is a point on B C s...

    Text Solution

    |

  3. In A B C ,\ /A=100^0a n d\ A B=A Cdot Find /B\ a n d\ /C

    Text Solution

    |

  4. In Figure, A B=A C\ a n d\ /A C D=120^0dot Find /A

    Text Solution

    |

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

    Text Solution

    |

  6. In Figure O is the mid-point of A B\ a n d\ C Ddot Prove that \ A O C...

    Text Solution

    |

  7. In Figure, it is given that A B=C F ,\ E F=B D\ a n d\ /A F E=\ /C B...

    Text Solution

    |

  8. In Figure, it is given that A E=A D\ a n d\ B D=C Edot Prove that A...

    Text Solution

    |

  9. Given: In /\ABC and /\PQR, A B=P Q ,\ B C=Q R\ a n d\ C B\ a n d\ R ...

    Text Solution

    |

  10. In Figure, X ,\ Y\ are two points on equal sides A B\ a n d\ A C of...

    Text Solution

    |

  11. Suppose line segments A B\ a n d\ C D intersect at O in such a way tha...

    Text Solution

    |

  12. If D is the mid-point of the hypotenuse A C of a right triangle A B ...

    Text Solution

    |

  13. A B is a line segment and line l is its perpendicular bisector. If a...

    Text Solution

    |

  14. In quadrilateral A C B D ,\ A C=A D\ a n d\ A B\ bisects /A . Show th...

    Text Solution

    |

  15. Prove that A B C is isosceles if any one of the following holds: (i...

    Text Solution

    |

  16. In Figure, P Q R S is a quadrilateral and T\ a n d\ U are respectively...

    Text Solution

    |

  17. In Figure, P S=Q R\ a n d\ /S P Q=/R Q Pdot Prove that P Q S\ ~=\ Q...

    Text Solution

    |

  18. In right triangle A B C , right angle at C ,\ M is the mid-point of th...

    Text Solution

    |

  19. In Figure, A C=A E ,\ A B=A D\ a n d\ /B A D=/E A Cdot Prove that B C=...

    Text Solution

    |

  20. In Figure, the side B A\ a n d\ C A have been produced such that B A...

    Text Solution

    |