Problem

1: Homework re: $30 / 100 \quad 5 / 10$ answered Question 10 Convert the angle $\frac{-2 \pi}{3}$ from radians to degrees: \[ \frac{-2 \pi}{3}= \] Submit Question Jump to Answer

Solution

Step 1 :Given the angle in radians as \(-2 \pi / 3\)

Step 2 :To convert radians to degrees, we use the formula: Degrees = Radians * (180/\pi)

Step 3 :Substitute the given radians into the formula: Degrees = \(-2 \pi / 3\) * (180/\pi)

Step 4 :After simplifying, we get the degrees as approximately -119.99999999999999

Step 5 :Rounding off the above value, we get -120

Step 6 :Final Answer: The angle \(-2 \pi / 3\) in degrees is \(\boxed{-120}\) degrees

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Source: https://solvelyapp.com/problems/17099/

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