Question

The measures of the exterior angles of a hexagon are x°x°, 2x°2x°, 5x°5x°, 6x°6x°, 7x°7x°, and 9x°9x°. Solve for x.

Answer 1

To find the value of x in this problem, we can set up an equation using the fact that the sum of the exterior angles of any polygon is always 360 degrees. Solving this equation, we find that x = 12.

Step-by-step explanation:

To find the value of x in this problem, we can make use of the fact that the sum of the exterior angles of any polygon is always 360 degrees. In this case, we have a hexagon with exterior angles of x°, 2x°, 5x°, 6x°, 7x°, and 9x°.

We can set up the equation: x + 2x + 5x + 6x + 7x + 9x = 360.

Combining like terms, we get 30x = 360. Dividing both sides by 30, we find that x = 12.

Answer 2

x = 12°

Step-by-step explanation:

The measures of the exterior angles of a hexagon are x°, 2x°, 5x°, 6x°, 7x°, and 9x°. Solve for x.

The sum of the exterior angles of a polygon sums up to 360

An hexagon is a 6 - sided polygon

(x + 2x + 5x + 6x + 7x + 9x) = 360

30x = 360

Divide both sides by 30

x = 360 / 30

x = 12

Hence, x = 12°