If a polygon has 10 sides, what is the measure of each interior angle in a regul

If a polygon has 10 sides, what is the measure of each interior angle in a regular decagon? (2023)

If a polygon has 10 sides, what is the measure of each interior angle in a regular decagon? (2023)

Step 1: Identify the number of sides in the polygon. A decagon has 10 sides.
Step 2: Use the formula for finding the measure of each interior angle in a regular polygon: [(n-2) * 180] / n.
Step 3: Substitute the number of sides (n) into the formula. Here, n = 10.
Step 4: Calculate (n-2). For n = 10, (10-2) = 8.
Step 5: Multiply the result from Step 4 by 180. So, 8 * 180 = 1440.
Step 6: Divide the result from Step 5 by the number of sides (n). So, 1440 / 10 = 144.
Step 7: Conclude that each interior angle in a regular decagon measures 144 degrees.

Interior Angles of Polygons – Understanding how to calculate the measure of interior angles in regular polygons using the formula.
Regular Decagon Properties – Recognizing the specific properties and characteristics of a decagon, including its number of sides.