Answer: x = 127 degrees
Step-by-step explanation: The figure shown is an irregular polygon with six sides. Being an irregular polygon, not all interior angles have equal measurement. Nonetheless, the sum of the interior angles of a polygon is given as;
Sum of angles = (n - 2) x 180
Where n equals to the number of sides. Hence for a six sided polygon, the sum of the interior angles equals
Sum of angles = (n - 2) x 180
Sum of angles = (6 - 2) x 180
Sum of angles = 4x 180
Sum of angles = 720.
Adding up all the interior angles, we now have,
112 + 133 + 128 + 100 + 120 + x = 720
593 + x = 720
Subtract 593 from both sides of the equation
x = 127