RESOLUCIÓN:
[tex]Φ = 30°[/tex]
[tex] \alpha + \beta + Φ = 160° \\ \alpha + \beta + 30° = 160° \\ \alpha + \beta = 160° - 30° \\ \alpha + \beta = 130°[/tex]
Triángulo ABC :
[tex] \alpha + \beta + θ = 180° \\ 130° + θ = 180° \\ θ = 180° - 130° \\ θ = 50°[/tex]
Triángulo PNC :
[tex]30° + θ = x + Φ \\ 30° + 50° = x + 30° \\ 80° = x + 30° \\ 80° - 30° = x \\ 50° = x[/tex]
RESPUESTA:
[tex]x = 50°[/tex]
