Find the measure of each internet angle of a regular polygon with 12 sides
The sum of the measures of the interior angles of a polygon with n sides is given by the formula:
sum = (n - 2) × 180 degrees
For a regular polygon, all interior angles are equal in measure. Therefore, to find the measure of each interior angle, we divide the sum by the number of sides:
angle = sum ÷ n
For a regular polygon with 12 sides, we have:
sum = (12 - 2) × 180 = 10 × 180 = 1800 degrees
angle = 1800 ÷ 12 = 150 degrees
Therefore, each interior angle of a regular polygon with 12 sides measures 150 degrees.
To find the measure of each interior angle of a regular polygon, you can use the formula:
Interior angle = (n-2) * 180° / n
where n is the number of sides of the polygon.
For a regular polygon with 12 sides, we can substitute n = 12 into the formula:
Interior angle = (12-2) * 180° / 12
Interior angle = 10 * 180° / 12
Interior angle = 1800° / 12
Interior angle = 150°
Therefore, each interior angle of a regular polygon with 12 sides measures 150°.