Final answer:
To convert 17π/18 radians to degrees, multiply by 180°/π to get exactly 170°.
Step-by-step explanation:
To convert the angle θ = 17π/18 radians to degrees, you need to use the conversion factor between radians and degrees. We know that 1 radian equals approximately 57.3° (or more precisely 180°/π). So, to convert radians to degrees, you multiply the radian value by this conversion factor.
θ = 17π/18 radians * (180°/π) = (17/18) * 180° = 170°
Therefore, the angle of 17π/18 radians is exactly 170° when converted to degrees.