Question

Please answer this question.its urgent
If the bisector of angle a,b,c, and d all meet at o.then what is angle aob equal to

Answer 1

In ∆ AOB, OD is the bisector of angle AOB
OA/OB =AD/DB---------------eq(1) Theorem used here
[The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle]
In ∆BOC .OE is the bisector of angle BOC
OB/OC = BE/EC---------eq(2)
In  ∆COA, OF is the bisector of angle COA
OC/OA =CF/FA-----------eq(3)
Multiplying eq 1, 2, 3 
(OA/OB) * (OB/OC)  * (OC/OA) = (AD/DB) * (BE/EC) * (CF/FA)
1= (AD/DB) * (BE/EC) * (CF/FA)
DB*EC*FA = AD*BE*CF-----------------------------------------------------------------------------------------------------
AD*BE*CF = DB*EC*FA---------------------------------------------------------------------------------------------------Hope this will help you.....