Final answer:
To convert an angle of 9π/5 radians to degrees, you multiply by 180/π, resulting in an angle of 324°.
Step-by-step explanation:
To find the equivalent degree measure for an angle θ = 9π/5 radians, we use the conversion factor between radians and degrees. Since 1 revolution = 360° and 2π radians = 1 revolution, we can find the degree measurement by setting up a proportion or by using a direct conversion factor.
We know that 1 radian ≈ 57.30°. Therefore, to convert from radians to degrees, we multiply the radian measure by 180/π:
θ (in degrees) = θ (in radians) × (180/π)
θ (in degrees) = (9π/5) × (180/π)
θ (in degrees) = 9 × 36
θ (in degrees) = 324°
So, the angle θ in degrees is 324°.