Question

Expresa 2pi/5 rad a grados sexagesimales:

Answer 1

¡Hola!

$\dfrac{A}{180^{\circ}}=\dfrac{T}{\pi} \\ \\ \\ \dfrac{x}{180^{\circ}}=\dfrac{ \frac{2\pi}{5} }{\pi} \\ \\ \\ \dfrac{x}{180^{ \circ}} = \dfrac{2\pi}{5 \cdot\pi} \\ \\ \\ \dfrac{x}{180 ^{ \circ} } = \dfrac{2 \not\pi}{5 \not\pi} \\ \\ x = \dfrac{2}{5} \times 180 \\ \\ \\ x = \dfrac{360}{5} \\ \\ \\ \boxed{ x = 72^{ \circ} }$

Espero que sirva y saludos.