we are given
angle(ADC)=135
angle(ADB)=7x
angle(BDC)=11x+9
we know that
angle(ADC)=angle(ADB)+angle(BDC)
now, we can plug values
and we get
[tex]135=7x+11x+9[/tex]
now, we can solve for x
[tex]135=18x+9[/tex]
[tex]126=18x[/tex]
[tex]x=7[/tex]
now, we can find angle
angle(BDC)=11x+9
we can plug x=7
angle(BDC)=11*7+9
angle(BDC)=86...................Answer
