The length of the sides of a hexagon are (x-5) degrees, (2x) degrees, (2x) degrees, (2x+7) degrees, (2x) degrees and (2x-1) degrees. If the perimeter is 144cm, find the value of x.

the value of x is 13cm

Step-by-step explanation:

Hexagon has six (6) sides

Perimeter = Sum of all sides of the hexagon

144 = (x-5) + (2x) + (2x) + (2x+7) + (2x) + (2x-1)

144 = x - 5 + 2x + 2x + 2x + 7 + 2x + 2x - 1

Collect like terms

144 = 11x + 1

143 = 11x

143 / 11 = x

x = 13cm