Correct option is B. The expression that represents the measures of all angles that are co-terminal with a 500° angle is 140 + 360n
Co-terminal angles are angles in a standard position.
The angle is given as:
Angle = 500
Add 0 to 500
Angle = 500 + 0
Express 0 as -360 + 360
Angle = 500 - 360 + 360
Evaluate the difference
Angle = 140 + 360
Express as a function
f(1) = 140 + 360 * 1
Substitute 1 for n
f(n) = 140 + 360 * n
This gives
f(n) = 140 + 360n
Hence, the expression that represents the measures of all angles that are co-terminal with a 500° angle is 140 + 360n
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