Respuesta :

eaucy

Step-by-step

measure angle 1 is corresponding to measure angle 5

measure angle 5= measure angle 1= 71*

measure angle 5 + measure angle 8 = 180*

71*+ measure angle 8=180*

measure angle 8=109

goodLizard

Answer:

[tex]m\angle5 = 71\degree^{\circ}[/tex],

[tex]m\angle8=109^{\circ}[/tex]

Step-by-step explanation:

Given that [tex]a[/tex] and [tex]b[/tex] are parallel and [tex]m\angle1=71^{\circ}[/tex]:

[tex]m\angle5 = 71^{\circ}[/tex] (Corresponding angles are equal when [tex]a\parallel b[/tex] )

[tex]m\angle8+m\angle5=180^{\circ}[/tex] (The two angles make up the angle of a straight line: [tex]180^{\circ}[/tex]

[tex]m\angle8 + 71^{\circ} = 180^{\circ}[/tex]

[tex]m\angle8 = 109^{\circ}[/tex]

[tex]\therefore m\angle5=71^{\circ};m\angle8=109^{\circ}[/tex]

Hope this helps :)

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