Question

Find the acute angle between the lines 2y + x =1 , x + 3y = 6
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Answer 1

Answer:

Let the slope of the lines m1=2 and m2=31

And 

tanθ=∣1+m1m2m1−m2∣

=∣∣∣∣∣∣∣∣1+31.231−2∣∣∣∣∣∣∣∣=1

θ=45∘