Question

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

Answer 1

[AI-generated answer — Bot]

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.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the value of x, we can use the sum of the interior angles in an octagon, which is equal to (n - 2) * 180 degrees, where n is the number of sides of the polygon.

In this case, there are 8 sides in the octagon, so the sum of the interior angles should be (8 - 2) * 180 = 1080 degrees.

We can now add up the given angles:

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

Combine like terms:

6x + 395 = 1080

Subtract 395 from both sides:

6x = 1080 - 395

6x = 685

Divide both sides by 6:

x = 685 / 6

x ≈ 114.17

Therefore, the value of x is approximately 114.17.