Stuck on a triangle question

Mar 2019
3
0
London
Hi!!

i am so stuck on this question, if anyone can help??


There is a triangle ABC, with a line BD (D is located between AC).
AD = x+7
DC = x+6
AB = x+7

Angle ABD = ACB

Find the value of x. I've attached a picture of it.

I dont know where to start on this one!! AC = 2X+11; AB = x+7; but i cant work out how to get BC! and if I do; i dont know how that helps!! it feels like the picture is missing something! any ideas!!

I feel
 

Attachments

Jun 2013
1,092
570
Lebanon
Angle ABD = ACB says

AB is tangent to the circumcircle of BDC