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The interior angles of a pentagon are 126o, 114o, y, 92o and 83o. Find the...

Mathematics
WAEC 1997
The interior angles of a pentagon are 126o, 114o, y, 92o and 83o. Find the value of y.
  • A. 85o
  • B. 95o
  • C. 105o
  • D. 115o
  • E. 125o
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Correct Answer: Option E
Explanation
Sum of the angle of a pentagon
= (2 x 5 - 4) x 90
= 540o
126 + 114 + y + 92 + 83 = 540
y = 540 - 415 = 125o
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