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To find the measure of one interior angle of a regular 10-sided polygon (decagon), we can use the formula for the interior angle of a regular polygon:
\[
\text{Interior Angle} = \frac{(n - 2) \times 180°}{n}
\]
where \(n\) is the number of sides.
In this case, for a decagon:
\[
n = 10
\]
Plugging in the value:
\[
\text{Interior Angle} = \frac{(10 - 2) \times 180°}{10}
\]
\[
\text{Interior Angle} = \frac{8 \times 180°}{10}
\]
\[
\text{Interior Angle} = \frac{1440°}{10}
\]
\[
\text{Interior Angle} = 144°
\]
Thus, the measure of one interior angle of a regular 10-sided polygon is **144°**.