Question 318792
Well, you started out correctly with the formula for the sum of the interior angles of a polygon with n sides:
{{{S = (n-2)180}}} Substitute n = 6 (A hexagon has 6 sides)
{{{S = (6-2)180}}}
{{{S = 4*180}}}
{{{S = 720}}} but from this you must subtract the measure of the two given angles or 2*110 degrees = 220 degrees.  So...
720-220 = 500 degrees...this is the sum of the remaining angles.
There is, however, something confusing in you problem description.
If you start with a hexagon (a six-sided polygon with six angles.) and you are given the measure of two of those angles, then you are asked to find the sum of the remaining interior angles (of which there should be four) labeled x, y, and z??
It doesn't add up!