Given that x + y = 180, p + q = 180, and p = x. Show that y = q.
Which step would be used to prove the argument?
A. X + p = 180
B. x+y=p+9
C. y+ g = 180
D. 2x + 2y = 180
The step that would be used to prove the argument is C. y+ g = 180.
The step that would be used to prove the argument is:
C. y + g = 180
To prove that y = q, we need to use the given information that p = x and p + q = 180. Here's how we can solve it step by step:
- Start with the given information: p = x and p + q = 180.
- Substitute p = x into p + q = 180: x + q = 180.
- Rearrange the equation to isolate q: q = 180 - x.
- Notice that q = 180 - x is the same form as y = 180 - x, given that x + y = 180.
- Therefore, we can conclude that y = q.
From the given information and the series of steps, the correct step to prove the argument is:
C. y + g = 180
Note that the g variable is not specified in the original problem, so it seems like a typo or unrelated information.