Find the angel of x2y7 and 5xy7 Find the angel of x2y7 and 5

Solution

Find the angel of x+2y=7 and 5x-y=7

slope m1 of x+2y =7 : m1 = -1/2

slope m2 of 5x -y =7 : m2 = 5

Angle between the lines: tan(x) = (m2-m1)/(1+(m1)(m2)

                               = ( 5 + 1/2)/( 1 -5/2)

                     = (11/2) /( -3/2)

                       = -11/3

x = tan^-1(-11/3) = 105.25 deg