Question

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

Answer 1

145°

Explanation:

line m || line (Given)

`m\angle 2 = 35\degree ......(1)` (Given)

`m\angle 3 = m\angle 2 ......(2)` (vertical angles)

From equations (1) and (2)

`\implies m\angle 3 = 35\degree`

`m\angle 3 +m\angle 5 = 180\degree` (interior angles on the same side of transversal)

`\implies 35\degree +m\angle 5 = 180\degree`

`\implies m\angle 5 = 180\degree-35\degree`

`\implies m\angle 5 = 145\degree`

Answer 2

145

Explanation:

angle 2 = angle 3

=> angle 3 = 35

now, we have

=> 35+angle 5 = 180

=> angle 5 = 180 - 35

=> angle 5 = 145