Respuesta :
since we know there are 180° in π radians, then, how many in 3π/5?
[tex]\bf \begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\\\ x&\frac{3\pi }{5} \end{array}\implies \cfrac{180}{x}=\cfrac{~~\pi ~~}{\frac{3\pi }{5}}\implies \cfrac{180}{x}=\cfrac{~~\frac{\pi}{1} ~~}{\frac{3\pi }{5}}\implies \cfrac{180}{x}=\cfrac{\pi }{1}\cdot \cfrac{5}{3\pi } \\\\\\ \cfrac{180}{x}=\cfrac{5}{3}\implies 540=5x\implies \cfrac{540}{5}=x\implies 108=x[/tex]
(3π/5) radians = 108 degrees.
What is degree and radian?
Degree and radian are two different unit to measure angle.
We know, 180° = π radians
Therefore, 1 radian = 180°/π
Hence, (3π/5) radians = 180°/π × (3π/5) = 108°
Learn more about the conversion of radian and degree here: https://brainly.com/question/9747298
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