Ratio means only one thing but I think what you meant was 3 examples of a ratio. In that case three examples would be:
2:3,
2 to 3,
2/3
Statement 1: and are vertical angles
Reason 1: Given
We basically just restate the given information word for word. This is true of any two column proof.
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Statement 2:
Reason 2: and are a linear pair
The term "linear pair" means the angles are adjacent and supplementary (they form a straight line), so this is why the two angles add to 180.
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Statement 3:
Reason 3: and are a linear pair
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Statement 4:
Reason 4: Substitution
Each of the equations formed in statements 2 and 3 above have 180 on the right side, so the left hand sides must be the same
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Statement 5:
Reason 5: Subtraction property of equality
We subtracted the quantity from both sides (they go away)
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Statement 6:
Reason 6: Definition of congruence
If two items are congruent, then they have the same measure. In other words, they are the same.