One interior angle of a convex hexagon is 170

^{o}and each of the remaining interior angles is equal to x^{o}. Find x-
**A.**

120^{o} -
**B.**

110^{o} -
**C.**

105^{o} -
**D.**

102^{o} -
**E.**

100^{o}

##### 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 90^{o}

= [2 x 6 – 4] x 90

= 720^{o}

If one angle is 170^{o} and each of the remaining five angles is 5x^{o}

5x^{o} + 170^{o} = 720^{o}

= 5x + 550

x = (frac{550}{5})

= 110^{o}