Home
Class 9
MATHS
If the bisectors of two adjacent angle...

If the bisectors of two adjacent angles `A\ a n d\ B` of a quadrilateral `A B C D` intersect at a point `O` such that `/_C+/_D=k/_A O B ,` then find the value of `k`.

Text Solution

Verified by Experts

The correct Answer is:
k = 2
Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

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

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (long Answer Questions)|5 Videos
  • QUADRILATERALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8b|15 Videos
  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (very Short Answer /short Answer Questions)|10 Videos
  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise|12 Videos

Similar Questions

Explore conceptually related problems

In a quadrilateral A B C D , bisectors of angles A\ a n d\ B intersect at O such that /_A O B=75^0, then write the value of /_C+\ /_D

Diagonals A C\ a n d\ B D of a quadrilateral A B C D intersect at O in such a way that a r\ ( A O D)=a r\ (\ B O C)dot Prove that A B C D is a trapezium.

Diagonals A C and B D of a quadrilateral A B C D intersect at O in such a way that a r( A O D)=a r( B O C) . Prove that A B C D is a trapezium.

The diagonals of quadrilateral A B C D intersect at O . Prove that (a r( A C B))/(a r( A C D))=(B O)/(D O)

Diagonals A C and B D of a quadrilateral A B C D intersect at O in such a way that a r(triangle A O D)=a r(triangle B O C) . Prove that A B C D is a trapezium.

If A B C D is a quadrilateral in which A B C D and A D=B C , prove that /_A = /_B .

In a cyclic quadrilateral A B C D , if /_A=3 /_C . Find /_A

In a quadrilateral A B C D , given that /_A+/_D=90o . Prove that A C^2+B D^2=A D^2+B C^2 .

A B C is a triangle. The bisector of the exterior angle at B and the bisector of /_C intersect each other at D . Prove that /_D=1/2/_A .

Two straight lines A B\ a n d\ C D intersect one another at the point Odot If /_A O C+/_C O B+/_B O D=274^0, then /_A O D=