in a 6 - sided polygon xqrstv ∠ x measures 48 ° less than the average ( arithmetic mean ) of the remaining 5 angles . what does ∠ x equal to , in degrees ?
Choose the correct choice: A) 72 B) 80 C) 88 D) 96 E) 104

Rationale: 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 ' - - > m * 5 + ∠ x = 720 , we know ∠ x = m - 48 - - > m * 5 + m - 48 = 720 , solving we get m = 128 hence ∠ x = 128 - 48 = 80 ans b .
Answer: B