If CE||DB, what is the value of x:

85°

In the given figure, for quadrilateral ABCD,

A+B+C+D = 360

Now assuming the missing angle CBD adjoining to 30 be y

110+30+y+75+60 = 360

y = 360-275 = 85

In triangle BCD, CBD+BDC+BCD = 180 (Assume BDC = p)

y+p+60 = 180

p = 180-60-85

p = 35

since CE is parallel to DB

due to interior angle property, BDC+DCE = 180

 p+60+x = 180

DCE = 180-35-60 = 85

The correct answer is Option (4) → 85°