A regular decagon is a ten-sided polygon where all sides and angles are equal. To find the measure of one interior angle in a regular decagon, we can use the formula for the interior angle of a regular polygon:
Interior Angle = (n – 2) × 180° / n
Here, n represents the number of sides of the polygon. For a decagon, n = 10.
Plugging in the values:
Interior Angle = (10 – 2) × 180° / 10
Interior Angle = 8 × 180° / 10
Interior Angle = 1440° / 10
Interior Angle = 144°
So, the measure of one angle in a regular decagon is 144°.