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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
  • 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