Question

the measure of the exterior angles of an octagon are x , 2x, 4x, 5x, 6x, 8x, 9x, and 10x. Solve for x

Answer 1

The sum of the exterior angles of any polygon is always 360 degrees. In an octagon, there are eight exterior angles.

Let's calculate the sum of the given exterior angles:

`\sf x + 2x + 4x + 5x + 6x + 8x + 9x + 10x = 360 \\`

Simplifying the equation:

`\sf 45x = 360 \\`

Dividing both sides by 45:

`\sf x = (360)/(45) \\`

Simplifying:

`\sf x = 8 \\`

Therefore, the value of x is 8.