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CBSE Class 9 Answered

The bisector of angle B & C of an isosceles triangle 🔺 ABC with AB=AC intersect each other at a point O. Show that the exterior angle adjacent to angle ABC is equal to angle BOC. 
Asked by harshraj17671 | 16 Aug, 2018, 07:49: AM
answered-by-expert Expert Answer
begin mathsize 18px style produce space line space CB thin space to space straight D
in space increment ABC
AB space equals space AC
angle ACB space equals space angle ABC
1 half angle ACB space equals space 1 half angle ABC
angle OCB space equals space angle OBC
in space increment BOC
angle OBC plus angle OCB plus angle BOC equals 180 degree
2 angle OBC plus angle BOC equals 180 degree
angle ABC plus angle BOC equals 180 degree
angle ABC plus angle DBA space equals 180 degree
angle DBA space equals angle BOC end style
Answered by Arun | 17 Aug, 2018, 11:34: AM
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