Answer: None of them. It should be 150 degrees.
See the explanation below for more details
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Step-by-step explanation:
To convert from radians to degrees, we multiply by the factor (180/pi)
The formula we can use is
y = (180/pi)*x
where x is the angle in radians, and y is the angle in degrees
Plug in x = (5/6)pi and evaluate
y = (180/pi)*x
y = (180/pi)*(5/6)*pi
y = (180/pi)*(5pi/6)
y = (180*5pi)/(pi*6)
y = (180*5)/(6)
y = (6*30*5)/(6)
y = (30*5)/(1)
y = 150
So the angle (5/6)pi radians, aka 5pi/6 radians, is equivalent to 150 degrees. Unfortunately this answer choice isn't listed. You'll have to let your teacher know there's a typo somewhere.