The interior of an octagon are2x, 1/2x,(x+40),110,135,160,(2x+10) and 185.find the value of x

1 answer

To find the value of x, we can use the fact that the sum of the interior angles of an octagon is 1080 degrees.

So we can set up an equation where we add up the interior angles given and set it equal to 1080:

2x + 1/2x + (x + 40) + 110 + 135 + 160 + (2x + 10) + 185 = 1080

Simplifying, we can combine like terms:

6x + 480 = 1080

Subtracting 480 from both sides:

6x = 600

Dividing by 6:

x = 100

Therefore, the value of x is 100.