Answer:
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°
