Answer:
∠1=∠3=∠5=∠7=168°
∠6=∠4=∠2=∠8=12°
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=14x
Sum 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°