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Find the Angle α\alpha Between Two Nonvertical Lines L1L _ { 1 }

Question 28

Multiple Choice

Find the angle α\alpha between two nonvertical lines L1L _ { 1 } and L2L _ { 2 } .The angle α\alpha satisfies the equation? tanα=m2m11+m2m1\tan \alpha = \left| \frac { m _ { 2 } - m _ { 1 } } { 1 + m _ { 2 } m _ { 1 } } \right| ? where m1m _ { 1 } and m2m _ { 2 } are slopes of L1L _ { 1 } and L2L _ { 2 } ,respectively.
(Assume that m1m21m _ { 1 } m _ { 2 } \neq 1 . )
?? L1:2xy=8L _ { 1 } : 2 x - y = 8 L2:x5y=4L _ { 2 } : x - 5 y = - 4 ?
Round your answer to one decimal place.
?


A) 54.1o
B) ?53.1o
C) 55.1o
D) 52.1o
E) 56.1o

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