If line m || line n and Ð2 measures 35°, what is the measure of Ð5?

Answer:
145
Step-by-step explanation:
angle 2 = angle 3
=> angle 3 = 35
now, we have
=> 35+angle 5 = 180
=> angle 5 = 180 - 35
=> angle 5 = 145
Answer:
145°
Step-by-step explanation:
line m || line (Given)
[tex]m\angle 2 = 35\degree ......(1)[/tex] (Given)
[tex]m\angle 3 = m\angle 2 ......(2)[/tex] (vertical angles)
From equations (1) and (2)
[tex]\implies m\angle 3 = 35\degree[/tex]
[tex]m\angle 3 +m\angle 5 = 180\degree[/tex] (interior angles on the same side of transversal)
[tex] \implies 35\degree +m\angle 5 = 180\degree[/tex]
[tex] \implies m\angle 5 = 180\degree-35\degree[/tex]
[tex] \implies m\angle 5 = 145\degree[/tex]