Answer:
the measure of the smallest exterior angle of the heptagon is 24 degrees.
Explanation:
The sum of the exterior angles of any polygon is always 360 degrees. Therefore, we can write an equation based on this fact and solve for x:
3x° + 4x° + 5x° + 6x° + 8x° + 9x° + 10x° = 360°
Simplifying the left side:
45x° = 360°
Dividing both sides by 45:
x° = 8°
Now we can substitute this value of x back into each of the given exterior angles to find their measures:
Smallest exterior angle: 3x° = 3(8°) = 24°
Therefore, the measure of the smallest exterior angle of the heptagon is 24 degrees.