SOLUTION: How do I do this question? Working with radians Find the exact angle between the lines {{{x-sqrt(3y)+sqrt(3) = 0}}} and {{{x + y - 5 = 0}}}

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Question 920254: How do I do this question?
Working with radians
Find the exact angle between the lines x-sqrt%283y%29%2Bsqrt%283%29+=+0 and x+%2B+y+-+5+=+0

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert the lines to slope-intercept form and find the slopes of the two lines.
x-sqrt%283%29y%2Bsqrt%283%29=0
x%2Fsqrt%283%29-y%2B1=0
y=%28sqrt%283%29%2F3%29x%2B1
m%5B1%5D=sqrt%283%29%2F3
.
.
.
y=-x%2B5
m%5B2%5D=-1
.
.
.
The slope of the line is the tangent of the angle that it makes with the x-axis.
So,
tan%28alpha%29=sqrt%283%29%2F3
alpha=30degrees
and
tan%28beta%29=-1
beta=-45degrees
So then the angle between them would be,
gamma=alpha-beta
gamma=30-%28-45%29
highlight%28gamma=75%29degrees
Since you need radians convert.
gamma=75%28%282pi%29%2F360%29=%285%2F12%29pi