Given that x + y = 180, p + q = 180, and p = x. Show that y = q.
Which step would be used to prove the argument?
1. x + p = 180
2. x + y = p + q
3. y + q = 180
4. 2x + 2y = 180
The correct step to prove the argument would be step 3.
Using the given information that p = x, we can substitute p in the equation p + q = 180 with x. This gives us x + q = 180.
Since we are trying to prove that y = q, we need to isolate y in the equation. We can do this by subtracting q from both sides of the equation, giving us x + q - q = 180 - q, which simplifies to x = 180 - q.
To find the value of y, we can use the equation x + y = 180 and substitute the value of x we just found. This gives us 180 - q + y = 180.
By rearranging the equation, we get y = q, which proves that y = q. Therefore, step 3 is the correct step to prove the argument.