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

One interior angle of a convex hexagon is 170o and each of the remaining interior angles is equal to xo. Find x
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  • A 120o
  • B 110o
  • C 105o
  • D 102o
  • E 100o
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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