Find the angle measures.
Justify your responses.
Given: a ||b, m∠6=128°
Find: m∠1, m∠3

It's given that a║b and m∠6 = 128°
Since, ∠1 and ∠3 are the consecutive interior angles,
m∠6 + m∠1 = 180°
128° + m∠1 = 180°
m∠1 = 180° - 128°
= 52°
Since, ∠6 and ∠3 are the corresponding angles,
Therefore, ∠6 ≅ ∠3
m∠3 = m∠6 = 128°