a regular polygon has 33 sides find the size of each interior angle
360/33 = 120/11 degrees
sorry - those are the exterior angles. For the interior ones,
180(33-2)/33 = 169 1/9 degrees
To find the size 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.
In this case, the regular polygon has 33 sides. Plugging in the values into the formula, we have:
Interior angle = (33-2) * 180 / 33
Interior angle = 31 * 180 / 33
Interior angle = 5580 / 33
Interior angle ≈ 169.09 degrees
Therefore, each interior angle of the regular polygon with 33 sides is approximately 169.09 degrees.
To find the size of each interior angle of a regular polygon, you can use the formula:
Interior Angle = (n-2)/n * 180°
Where:
n is the number of sides of the polygon.
In this case, the regular polygon has 33 sides, so we can substitute n = 33 into the formula:
Interior Angle = (33-2)/33 * 180°
Calculating this expression:
Interior Angle = (31/33) * 180°
Interior Angle ≈ 171.8182°
Therefore, each interior angle of the regular polygon with 33 sides is approximately 171.8182 degrees.