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 $$ x+y=p+q $$ C $$ y+q=180 $$ D $$ 2 x+2 y=180 $$

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To prove that $$ y = q $$ given the equations $$ x + y = 180 $$, $$ p + q = 180 $$, and $$ p = x $$, let's analyze the steps:

1. **Given:**
   $$
   x + y = 180 \quad \text{(Equation 1)}
   $$
   $$
   p + q = 180 \quad \text{(Equation 2)}
   $$
   $$
   p = x \quad \text{(Equation 3)}
   $$

2. **Substitute $$ p $$ from Equation 3 into Equation 2:**
   $$
   x + q = 180 \quad \text{(Equation 4)}
   $$

3. **Now, compare Equation 1 and Equation 4:**
   $$
   x + y = x + q \quad \text{(Both equal to 180)}
   $$

4. **Subtract $$ x $$ from both sides:**
   $$
   y = q
   $$

The critical step that allows us to set up the comparison between $$ x + y $$ and $$ x + q $$ is recognizing that both $$ x + y $$ and $$ p + q $$ equal 180, and since $$ p = x $$, this leads directly to setting them equal to each other.

**Answer:**  
**B $$ x+y=p+q $$**
To prove that $$ y = q $$, the key step is: **B $$ x + y = p + q $$**

Given that , and . Show that .

Which step would be used to prove the argument?

A

B

C

D

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