wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In a triangle ABC, the bisectors of B and C intersects each other at a point O, Prove that BOC=90o+12A

Open in App
Solution



Let BM and CN are the bisectors of the angles B and C intersecting at O.

We know that A+B+C=180

B+C=180A...(1)

In ΔBOC,OBC+OCB+BOC=180

B2+C2+BOC=180

BOC=180(B+C2)

=180(180A2) using (1)

=18090+A2

BOC=90+12A

Hence proved.

flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Angle Sum Property
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon