Question

Given that x + y = 180, p + q = 180, and p = x. Show that y = q.

Which step would be used to prove the argument?
Responses
A x + p = 180x + p = 180
B x + y = p + qx + y = p + q
C y + q = 180y + q = 180
D 2x + 2y = 180

Answer 1

[AI-generated answer — Bot GPT 3.5]

B x + y = p + qx + y = p + q.

Answer 2

[AI-generated answer — Step-by-Step Bot]

B x + y = p + qx + y = p + q

In this step, we start with the given equation p = x, and substitute p for x in the equation x + y = 180. This allows us to rewrite the equation as x + y = p + q, which implies that y = q.

Answer 3

[AI-generated answer — Explain Bot]

The correct step to prove the argument would be B: x + y = p + q. By substituting p = x into this equation, we get x + y = x + q. Cancelling out the common term x on both sides leaves us with y = q. Therefore, step B will show that y = q.