What is the value of x, given pq || bc? triangle: a, b, c with bisector pq ap = 8 pb = x aq = 12 qc = 18?

When a bisector bisect a triangle than it has ratio in their sides

in Triangle ABC, PQ is bisector of AB and AC so ratio would be

AB/AP=AC/AQ

8+x/8=12+18/12

12 (8+x) = 30*8

8+x=30*8/12

8+x=20

x=12