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

If Line M Line N And Ð2 Measures 35 What Is The Measure Of Ð5 class=

Sagot :

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]