Answer: 120°
Step-by-step explanation: Let's start by finding the sum of the measures of the interior angles. The sum of the measures of the interior angles of a polygon can be found using the formula 180 (n - 2) where n represents the number of sides in the polygon.
Since a regular hexagon has 6 sides, we can plug a 6 in for n in our formula and we have 180 (6 - 2) where 6 represents the number of sides. We can simplify this by subtracting 2 from 6 inside the parentheses to get 180 (4) which is 720.
So the sum of the measures of the interior angles of a regular hexagon is 720°.
However, we want to know the measure of each interior angle. Since the angles of a regular hexagon are all congruent, we simply divide the sum of the measures of the angles which is 720 by the number of angles or sides which is 6 to get 120.
So the measure of each interior angle of a regular hexagon is 120°.
So the formula for finding the measure of each interior angle of a regular polygon is simply the sum of the interior angles 180 (n - 2) divided by the number of sides which is n.
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