from the given figure two lines are parallel to each other. If ∠11=62 then ∠12 =(180- 62)=118,∠8=62 (vertically opposite angles are parallel) and ∠4=62 corresponding angles are equal )If ∠8=62 then ∠3=62 (corresponding angles in a parallel lines are equal) If ∠14=38 then∠13=(180-38)=142 , ∠6=38 (corresponding angles) and ∠9=38 (vertically opposite angles).
If ∠6=38 then∠1=38 (vertically opposite angles)
If ∠1=38 and ∠3=62 then ∠2=180-(38+62)=80 and if ∠2=80 then ∠5=80 (vertically opposite angles)