Question

please answer it find the x

Answer 1

In triangle ABO,
AB =AO[GIVEN]
By property of an isosceles triangle,
Angle ABO=Angle AOB
Therefore
Angle AOB=2x+5
Now,
Angle AOB=Angle COD[vertically opposite angle]
In triangle COD,
DO=DC
By property of an isosceles triangle,
Angle COD=Angle DCO
Therefore,
Angle DCO=2x+5

Angle COD+ Angle DCO+Angle ODC=180[Angle sum property]
2x+5+6x+2x+5=180
10x+10=180
10x =170
x=17