Question

Which of the following statements must be true to prove lines m and n are parallel?

Question 12 options:

A)
m∠2 + m∠6 = 180°

B)
∠4 ≅ ∠8

C)
m∠3 + m∠5 = 180°

D)
∠1 ≅ ∠6

Answer 1

option C

Explanation:

m∠3 =m∠6 ( Alternative Interior Angles are equal )

But m∠5 & m∠6 are linear pair. So ,

m∠5 + m∠6 = 180°

=> m∠5 + m∠3 = 180° ( because m∠3 =m∠6 )