Find the obtuse angle of intersection between the curves f(x) = 2x + 3 and g(x) = -3x + 1.

The answer to your question is 135°

Step-by-step explanation:

Curves

f(x) = 2x + 3

g(x) = -3x + 1

Process

1.- Find the slope of both curves

f(x) = 2x + 3     m1 = 2

g(x) = -3x + 1    m2 = -3

2.- Find the tangent of the angle

Formula

tan Ф = (m2 - m1) / (1 + m2m1)

Substitution

tan Ф = (-3 - 2) / (1 + (-3)(2))

         = -5/ (1 - 6)

         = -5 / -5

         = 1

3.- Find the angle

tan⁻¹Ф = Ф = 45°

4.- Find the obtuse angle

Obtuse angle = (360 - 2(45))/ 2

                       = (360 - 90) / 2

                       = 270/2

                       = 135°