Compare an angle having a measure of 120° with that of an angle whose measure is radians. Explain your reasoning.

Answer:

To compare the two angles, convert them to the same unit. To convert 120° to radians, multiply by π/180°, which gives 2π/3 radians. To compare 2π/3 and 5π/6, use a common denominator: 2π/3 = 4π/6. Since 4π/6 is less than 5π/6, 120° is smaller than 5π/6 radians. Alternatively, converting 5π/6 radians to degrees: (5π/6) * (180°/π) = 150°. Since 120° is less than 150°, 120° is smaller than 5π/6 radians.