Find the measures of two angles one positive and one negative that are coterminal 7pi/9

To find the measures of two coterminal angles with 7π/9, we can add or subtract any multiple of 2π.

To find a positive coterminal angle, we can add 2π to 7π/9:
7π/9 + 2π = (7π + 18π)/9 = (25π)/9

To find a negative coterminal angle, we can subtract 2π from 7π/9:
7π/9 - 2π = (7π - 18π)/9 = (-11π)/9

Therefore, the measures of the two angles that are coterminal with 7π/9 are (25π)/9 and (-11π)/9.