Question

Please help with the problem below.

Answer 1

Answer:

$m\angle5 = 71\degree^{\circ}$,

$m\angle8=109^{\circ}$

Step-by-step 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 :)

Answer 2

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