Question

tv || qs. complete the proof that ( mangle prs + mangle vuw = 180^circ ).

Explanation:

For Statement 3: ∠PRS and ∠SRU form a linear pair (they share a common side and their non-common sides form a straight line), so their measures sum to 180°. For Statement 4: Since ∠VUW ≅ ∠SRU (from Statement 2), substitute ∠VUW for ∠SRU in the equation from Statement 3, resulting in m∠PRS + m∠VUW = 180°.

Answer:

Statement 3 Reason: Angles forming a linear pair sum to 180°
Statement 4 Reason: Substitution Property of Equality (using ∠VUW ≅ ∠SRU)