Question

The measures of the exterior angles of a hexagon are x°, 3x°, 5x°, 8x°, 9x°, and 10x°. Find the measure of the smallest exterior angle.

Answer 1

x° = 10°

Explanation:

The sum of the measures of the exterior angles of any polygon is always 360 degrees. Therefore, we can write an equation:

x° + 3x° + 5x° + 8x° + 9x° + 10x° = 360°

Simplifying the left side:

36x° = 360°

Dividing both sides by 36:

x° = 10°

Now we can find the measure of the smallest exterior angle, which is x°:

x° = 10°