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

Question

asked May 22, 2024 171k views

1 Answer

Eswald · Answer 1 · 2024-05-27T07:33:41+0000

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.