Question

Complete the two-column proof.

Answer 1

5x + 7x = 180 ⇒ properties of linear pair
12x = 80 ⇒ addition property (since (5 + 7)x = 12x)
x = 15 ⇒ Division property (since we divide both sides by 12)

Answer 2

Answer:

The proof is explained in step-by-step explaination

Step-by-step explanation:

Given ∠RST = $5x$

         ∠UVW = $7x$

It is also given that both angles are supplementary that means the sum of these two equals 180°

⇒    ∠RST + ∠UVW = $5x$ +  $7x$

                      180°   = $12x$

   By multiclication property of equality

    ⇒   x = $\frac{180}{12}$

    ⇒   x = 15°