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Find the Angle ? Between Two Nonvertical Lines L1L _ { 1 }

Question 34

Multiple Choice

Find the angle ? between two nonvertical lines L1L _ { 1 } and L2L _ { 2 } .The angle ? 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 . ) ? L1L _ { 1 } : 5x - 4y = 5 L2L _ { 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

Correct Answer:

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