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The number of degrees in \(2\tfrac{2}{3}\) right angles is :

  • A.210
  • B.285
  • C.240
  • D.330

Answer: C

The angle is 240 degrees.

One right angle is 90°.

\[ \begin{aligned} 2\tfrac{2}{3} &= \tfrac{8}{3} \\ \tfrac{8}{3} \times 90 &= 8 \times 30 = 240 \end{aligned} \]

210 is \(2\tfrac{1}{3}\) right angles and 330 is \(3\tfrac{2}{3}\), and 285 is not a whole number of thirds of a right angle at all.

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