SOLUTION: maybe I am not asking this question right since no one has answered but I will try to describe it again. I am given a hexagon figure with 2 given measurements of 110 degrees. The q

Question 318792: maybe I am not asking this question right since no one has answered but I will try to describe it again. I am given a hexagon figure with 2 given measurements of 110 degrees. The question is asking me to find the sum of the remaining interior angles labled x,y,z. I used 180(n-2)degrees & got 720 or 4n radius but this was wrong. Please help.
Found 2 solutions by Earlsdon, elocin:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Well, you started out correctly with the formula for the sum of the interior angles of a polygon with n sides:
Substitute n = 6 (A hexagon has 6 sides)

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!
Answer by elocin(2) (Show Source): You can put this solution on YOUR website!
S = (6-2)x180
s= 4x180
s=720 then you subtract the measure of the two given angles thats 220 degrees 720-220=500 then you subtract 90 degree angle so 500-90=410 so the sum of xyz=410
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