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

To find the coterminal angles, we can add or subtract a full revolution (2π radians) to the given angle until we get two angles that are in the desired range.

Adding a full revolution to the given angle:
7π/9 + 2π = (7π + 18π)/9 = 25π/9

Subtracting a full revolution from the given angle:
7π/9 - 2π = (7π - 18π)/9 = -11π/9

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