Question

pls help to solve
help to find value of x​

Answer 1

Step-by-step explanation:

given AB || DC

In triangle OAB and OCD

angle OAB = angle OCD (alternate interior angles)

angle OBA = angle ODC (same)

angle AOB = angle DOC (vertically opposite angle)

hence triangle OAB is similar to triangle OCD

hence

OA/OC = OB/OD

(x+5)/(x+3) = (x-1)/(x-2)

(x+5)(x-2) = (x-1)(x+3)

x2 + 7x +10 = x2 + 2x -3

7x - 2x = -3-10

5x = -13

x= -13/5