CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Then which of the following options is correct?
  1. MOC=OCB
  2. MOC=BAC
  3. MOC=ABC
  4. MOC=MBC


Solution

The correct option is C MOC=ABC

Bisectors of the angles B and C of an isosceles triangle ΔABC with AB = AC intersect each other at O. BO is produced to a point M.


In ΔABC, we have
AB=AC (given)
ABC=ACB  [  Angles opposite to equal sides of a triangle are equal.]
12ABC=12ACB  
i.e., 1=2
MOC=1+2  [ Exterior angle of a triangle is equal to the sum of interior opposite angles]
MOC=21   [1=2]
Hence, MOC=ABC
[ 1=12ABC ]

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image