Find the angle $\alpha$ between two nonvertical lines $L _ { 1 }$ and $L _ { 2 }$ .The angle $\alpha$ satisfies the equation
$$\tan \alpha = \left| \frac { m _ { 2 } - m _ { 1 } } { 1 + m _ { 2 } m _ { 1 } } \right|$$
Where $m _ { 1 }$ and $m _ { 2 }$ are slopes of $L _ { 1 }$ and $L _ { 2 }$ , respectively.
(Assume that $m _ { 1 } m _ { 2 } \neq 1$ .)
$L _ { 1 }$ : 5x - 4y = 5 $L _ { 2 }$ : x + y = 1

Round your answer to one decimal place.

A)83.7º
B)84.7º
C)85.7º
D)86.7º
E)87.7º

Question

Find the angle $\alpha$ between two nonvertical lines $L _ { 1 }$ and $L _ { 2 }$ .The angle  $\alpha$ satisfies the equation 
 $$\tan \alpha = \left| \frac { m _ { 2 } - m _ { 1 } } { 1 + m _ { 2 } m _ { 1 } } \right|$$ 
Where $m _ { 1 }$ and $m _ { 2 }$ are slopes of $L _ { 1 }$ and $L _ { 2 }$ , respectively.
(Assume that $m _ { 1 } m _ { 2 } \neq 1$ .)
  $L _ { 1 }$ : 5x - 4y = 5 $L _ { 2 }$ : x + y = 1
 
Round your answer to one decimal place.
 
A)83.7º
B)84.7º
C)85.7º
D)86.7º
E)87.7º

Quizplus · Accepted Answer

The Answer of Find the angle $\alpha$ between two nonvertical lines $L _ { 1 }$ and $L _ { 2 }$ .The angle  $\alpha$ satisfies the equation 
 $$\tan \alpha = \left| \frac { m _ { 2 } - m _ { 1 } } { 1 + m _ { 2 } m _ { 1 } } \right|$$ 
Where $m _ { 1 }$ and $m _ { 2 }$ are slopes of $L _ { 1 }$ and $L _ { 2 }$ , respectively.
(Assume that $m _ { 1 } m _ { 2 } \neq 1$ .)
  $L _ { 1 }$ : 5x - 4y = 5 $L _ { 2 }$ : x + y = 1
 
Round your answer to one decimal place.
 
A)83.7º
B)84.7º
C)85.7º
D)86.7º
E)87.7º

Find the Angle α\alphaα Between Two Nonvertical Lines L1L _ { 1 }L1​

Find the Angle $\alpha$ Between Two Nonvertical Lines $L _ { 1 }$