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Question

The obtuse angle between the lines y = -2 and y = x +2 is __ (degree)

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Solution

We can compare the given lines with y=mx+c {where m is the slope of the line}
Slope of the line y=2,m1=0
Slope of the line y=x+2,m2=1
Acute angle between these two lines
tanθ=|m1m21+m1.m2|
=|011|
tanθ=1
θ=45o
Hence obtuse angle between the lines = 180o45o
=135o

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