The ratio of the same side angles of two parallel lines is 1:14. Find all angles.

Answer:∠1=∠3=∠5=∠7=168°∠6=∠4=∠2=∠8=12°Step-by-step explanation:We are given two angles of the same side of parallel lines is 1:14 Please see the attachment to see all angles of parallel lines. In figure, ∠6 and ∠3 are same side angles. ∠6 : ∠3 = 1 : 14 Therefore, ∠6 = x ,  ∠3=14xSum of angles of same side of parallel lines is 180°∠6 + ∠3  = 180°x+14x=180°x=12∠6=12° ∠3=168°∠3=∠1=168°   (Vertically Opposite angles)∠3=∠5=168°   (Alternate interior angles) ∠3=∠7=168°    (Corresponding angles)Therefore, ∠1=∠3=∠5=∠7=168°∠6=∠8=12°   (Vertically Opposite angles)∠6=∠4=12°     (Alternate interior angles)∠6=∠2=12°     (Corresponding angles) Therefore, ∠6=∠4=∠2=∠8=12°