Final answer:
The measure of angle z in the hexagon is 130°, which is calculated by subtracting the sum of the given angles from the total sum of interior angles in a hexagon, 720°.
Step-by-step explanation:
The student's question is about determining the measure of the unknown angle z in a hexagon with given angle measurements. To find the measure of angle z, we must use the fact that the sum of interior angles in a hexagon is 720°. We add up the given angles and subtract their sum from 720° to find angle z. The given angles are 80°, 150°, 120°, 90°, and 150°, which add up to 590°. Subtracting from 720° gives us:
720° - 590° = 130°
Hence, the measure of angle z is 130°.