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

question 127

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 $m _ { 1 } m _ { 2 } \neq 1$ .)

$L _ { 1 } : 2 x - y = 8$ $L _ { 2 } : x - 5 y = - 4$
Round your answer to one decimal place.

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