5.03 Quiz Parallel Lines And Transversals
Question: In this figure, AB∥CD and m∠1=110°.
What is m∠5?
Answer: m∠5= 110
Question: In Quadrilateral ABCD , AB∥CD and m∠2=35°.
What is m∠5?
Answer: m∠5= 35
Question: Given a∥b , and c is not parallel to a or b, which statements must be true?
Answer: m∠4=m∠5
m∠1=m∠5
Question: In this figure, AB∥CD and m∠6=75°.
What is m∠3?
Answer: m∠3= 105
Question: Given: m∥nm∠3=120°
Prove: m∠8=60°
Answer: m∥nm∠3=120° → given
∠5≅∠3 → alternate interior angles theorem
m∠5=m∠3 → angle congruence postulate
m∠5=120° → substitution property of equality
m∠8+m∠5=180° → linear pair postulate
m∠8+120°=180° → substitution property of equality
m∠8=60° → subtraction property of equality