Respuesta :

well, if you look at your Unit Circle, as you should have one already, we know that 180 degrees is really π radians.

now, if 180 degree is π radians, how many degrees is it on 133π/72?

[tex]\bf \begin{array}{ccll} de grees&radians\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 180&\pi \\\\ d&\frac{133\pi }{72} \end{array}\implies \cfrac{180}{d}=\cfrac{\pi }{\frac{133\pi }{72}}\implies \cfrac{180}{d}=\cfrac{\frac{\pi }{1}}{\frac{133\pi }{72}} \\\\\\ \cfrac{180}{d}=\cfrac{\pi }{1}\cdot \cfrac{72}{133\pi }\implies \cfrac{180}{d}=\cfrac{72}{133}\implies \cfrac{180\cdot 133}{72}=d\\\\\\ 332.5^o=d[/tex]