\(\frac{2\pi}{3}\) radians is equal to how many degrees?

Correct answer: 120°

Use the standard equivalence \(\pi\) radians = 180°. The degree measure of \(\frac{2\pi}{3}\) is found by multiplying by \(\frac{180^\circ}{\pi}\): \(\frac{2\pi}{3}\times\frac{180^\circ}{\pi}=\frac{2\times180^\circ}{3}=120^\circ\). Therefore option A is correct. A quick check using standard angles gives the same result: \(\frac\pi3=60^\circ\), so twice that angle, \(\frac{2\pi}{3}\), is 120°. The other choices represent different radian values: 135° is \(\frac{3\pi}{4}\), 150° is \(\frac{5\pi}{6}\), and 180° is \(\pi\). Cancelling \(\pi\) before simplifying keeps the conversion accurate.