Question

what is the angle between the linesx+y+1=0 and x=5​

Answer 1

Step-by-step explanation:

slope of 1st line. is m1=-1

slope of 2nd line is m2=undefined

tan

$tan \alpha = | \frac{m1 - m2}{m1m2 } |$

$\tan( \alpha ) = 1$

angle=45°=π/4

Answer 2

Angle between the two lines = 45°

Step-by-step explanation:

Angle between the lines x + y +1 = 0 and x = 5​.

The line x + y + 1 = 0 has a slope of −1.

The angle of inclination of this line is arctan (−1) = 135° -----------(1)

The line x = 5 is perpendicular to the X axis.

The angle of inclination of this line is 90° -----------(2)

The angle between the two lines = 135 - 90 = 45°.