A regular decagon is a polygon with 10 equal sides and 10 vertices, all of which are congruent. It has characteristics such as equal length and measure of all sides, each interior angle, and the sum of internal angles. The sum of the interior angles in a regular decagon is always 1440°, which can be determined by counting the number of triangles that can fit inside the decagon.
To find the sum of the interior angles of a decagon, use the formula:
Sum of interior angles = (10-2) × 180° = 1440°. Divide the sum and the number of total sides in the decagon by 1,440/10 = 144°. Each exterior angle measures 360°/10 = 36°, so each interior angle is the supplement of this: 144°.
In geometry, a decagon is a ten-sided polygon or 10-gon, with the total sum of the interior angles of a simple decagon being 1440°. In a regular decagon, each side measures 144°, and they all add up to 1,440°. The measure of each interior angle is calculated by dividing the sum of interior angles by the total number of sides.
In conclusion, a regular decagon is a polygon with 10 equal sides and 10 vertices, with equal length and measure of all sides.
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