What is the measure of each interior angle of a regular hexagon?
Question
What is the measure of each interior angle of a regular hexagon?
Solution
A regular hexagon is a polygon with six sides of equal length. The sum of the interior angles of any polygon can be found using the formula (n-2) * 180, where n is the number of sides.
Step 1: Substitute the number of sides (n = 6 for a hexagon) into the formula: (6-2) * 180 = 720 degrees. This is the total sum of all interior angles in a hexagon.
Step 2: Since a regular hexagon has all angles equal, divide the total sum by the number of sides to find the measure of each angle: 720 degrees / 6 = 120 degrees.
So, each interior angle of a regular hexagon measures 120 degrees.
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