Answer:
Statement 1: UV ║ WZ
Statement 2: Points S,Q,R and T are all lie on the same plane.
Statement 3: m<SQT=180 deg
Statement 4: m<SQV + m<VQT = m<SQT
Statement 5: m<SQV + m<VQT = 180 deg
Now, the next statement is as:
Statement 6: which is statement III.
(Same side interior angles theorem) m<VQT + m<ZRS = 180 deg
Statement 7: which is statement II.
(Substitution property of equality)
m<SQV + m<VQT = m<VQT + m<ZRS
Statement 8: m<SQV + m<VQT - m<VQT = m<VQT + m<ZRS - m<VQT
which is statement I.
(Subtraction property of equality)
So, the correct order of the given reasons to complete the proof is III, II, I.
Step-by-step explanation:
