wiz-icon
MyQuestionIcon
MyQuestionIcon
13
You visited us 13 times! Enjoying our articles? Unlock Full Access!
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?


A

MOC=BAC

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

MOC=MBC

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

MOC=ABC

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

MOC=BCM

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

MOC=ABC


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


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


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Criteria for Congruency
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon