Question

Please help with the problem below.

Answer 1

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

Answer 2

`m\angle5 = 71\degree^(\circ)`,

`m\angle8=109^(\circ)`

Explanation:

Given that
`a` and
`b` are parallel and
`m\angle1=71^(\circ)`:

`m\angle5 = 71^(\circ)` (Corresponding angles are equal when
`a\parallel b` )

`m\angle8+m\angle5=180^(\circ)` (The two angles make up the angle of a straight line:
`180^(\circ)`

`m\angle8 + 71^(\circ) = 180^(\circ)`

`m\angle8 = 109^(\circ)`

`\therefore m\angle5=71^(\circ);m\angle8=109^(\circ)`

Hope this helps :)