In a six-sided polygon XQRSTV ∠X measures 48° less than the average (arithmetic mean) of the remaining five angles. What does ∠X equal to, in degrees?  Select the correct option.
A) 72
B) 80
C) 88
D) 96
E) 104
The sum of interior angle in a polygon is (n-2)*180   so for a six sided figure, (6-2)*180 = 720   let the A.M of the other 5 angles be 'm'   --&gt; m*5 + ∠X = 720, we know ∠X=m-48   --&gt; m*5 + m - 48 = 720, solving we get m=128   hence ∠X= 128-48= 
<gadget id="calculator">128-48</gadget>
<output>80</output>
80   Ans 80.
<result>B</result>
In a six-sided polygon XQRSTV ∠X measures 48° less than the average (arithmetic mean) of the remaining five angles. What does ∠X equal to, in degrees?