Please help with the problem below.

Question

asked Feb 20, 2021 154k views

2 Answers

Roshin Raphel · Answer 1 · 2021-02-22T13:40:55+0000

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

Eric Leschinski · Answer 2 · 2021-02-25T11:57:08+0000

Answer:

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

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

Explanation:

Given that
and
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 :)