Question

find the angel between the lines , x-2 = 0 and x+√3y-5=0

Answer 1

1. x-2=0
Slope = undefined (parallel to y axis)

2.x+√3y-5=0
differentiating
1+√3 (Dy/dx)=0
Dy/dx=-1/√3

angle made by line 1 with x axis =90
angle made by line 2 with x axis = arctan -1/√3
=150

angle between them =150-90=60