General Formula for a n-gon:
[tex]\boxed { \boxed { \text { (n-2) x 180}}}[/tex]
A hexagon has 6 sides.
Sum of all interior angles of a hexagon = (6 - 2) x 180 = 4 x 180 = 720°
Given that sum of 5 interior angles = 593°
6th interior angles = 720 - 593 = 127°
[tex]\boxed { \boxed { \text {The 6th angle is 127\textdegree} }}[/tex]