Question

∠VWY and ∠RTS are supplementary. Complete the proof that VX∥SU.

Answer 1

To prove that 2 lines are parallel find the pair of corresponding angles equal in measure

From the given figure

Then the statement 3 is

$m\angle RTS+m\angle STW=180^{\circ}\rightarrow\text{ Angles forming a linear pair sum to 180}^{\circ}$

Since we prove that Then VX // SU

Then the statement 6 is

VX // SU ---------- Converse of Corresponding Angles Theorem