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

question 379

Multiple Choice

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.

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