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°