To find the measure of one interior angle of a regular polygon, you can use the formula for the measure of each interior angle of a regular \( n \)-sided polygon:
\[ \text{Interior Angle} = \frac{(n-2) \times 180}{n} \]
For a 10-sided polygon (decagon), \( n = 10 \):
\[ \text{Interior Angle} = \frac{(10-2) \times 180}{10} \] \[ = \frac{8 \times 180}{10} \] \[ = \frac{1440}{10} = 144 \]
Thus, the measure of one interior angle of a regular 10-sided polygon is 144 degrees.