Respuesta :
well, we know that 180° = π radians, so what would 3π/4 radians be in degrees then?
[tex]\bf \begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ x&\frac{3\pi }{4} \end{array}\implies \cfrac{180}{x}=\cfrac{~~\pi ~~}{\frac{3\pi }{4}}\implies \cfrac{180}{x}=\cfrac{~~\frac{\pi}{1} ~~}{\frac{3\pi }{4}} \\\\\\ \cfrac{180}{x}=\cfrac{~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{1}\cdot \cfrac{4}{3~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \cfrac{180}{x}=\cfrac{4}{3}\implies 540=4x\\\\\\ \cfrac{540}{4}=x\implies 135=x[/tex]
