In a six-sided polygon ZQRSTV ∠Z measures 48° less than the average (arithmetic mean) of the remaining five angles. What does ∠Z equal to, in degrees?  Choose 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 + ∠Z = 720, we know ∠Z=m-48   --&gt; m*5 + m - 48 = 720, solving we get m=128   hence ∠Z= 128-48= 
<gadget id="calculator">128-48</gadget>
<output>80</output>
80   Ans 80.
<result>B</result>
In a six-sided polygon ZQRSTV ∠Z measures 48° less than the average (arithmetic mean) of the remaining five angles. What does ∠Z equal to, in degrees?