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One interior angle of a convex hexagon is 170o and each of the remaining interior...

Mathematics
JAMB 1983

One interior angle of a convex hexagon is 170o and each of the remaining interior angles is equal to xo. Find x
  • A. 120o
  • B. 110o
  • C. 105o
  • D. 102o
  • E. 100o
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Correct Answer: Option B
Explanation
An hexagon polygon is a six sided polygon

n = 6

sum of all interior angles of hexagon polygon will be (2n - 4) x 90o

= [2 x 6 - 4] x 90

= 720o

If one angle is 170o and each of the remaining five angles is 5xo

5xo + 170o = 720o

= 5x + 550

x = \(\frac{550}{5}\)

= 110o

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Post UTME Past Questions Agent
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Post UTME Past Questions Agent
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts