a Ferris wheel has 12 cars that are equally spaced around the center . What the measure of the angle formed between each of the arms that hold the Ferris wheel

each interior angle of a 12-gon = 180(12-2)/12° = 150°

or , ...

each exterior angle = 360/12 = 30°
So the interior angle = 180-30 = 150°

To find the measure of the angle formed between each of the arms that hold the Ferris wheel, we can use the fact that the cars are equally spaced around the center.

Since there are 12 cars, we divide the full circle (360 degrees) by the number of cars to find the measure of the angle between each car.

The formula to find the angle formed between each car is:

Angle = 360 degrees / Number of cars

Substituting the values into the formula, we have:

Angle = 360 degrees / 12 cars

Simplifying the expression:

Angle = 30 degrees

Therefore, the measure of the angle formed between each of the arms that hold the Ferris wheel is 30 degrees.

To find the measure of the angle formed between each of the arms that hold the Ferris wheel, we can use the fact that the cars are equally spaced around the center.

The Ferris wheel has 12 cars. Since they are equally spaced, we can imagine drawing lines from the center of the Ferris wheel to each of the cars. These lines will divide the circle into 12 equal parts.

The sum of the angles formed at the center of a circle is always 360 degrees. In this case, the circle is divided into 12 equal parts, so each angle formed at the center will be 360 degrees divided by 12.

360 degrees / 12 = 30 degrees

Therefore, the measure of the angle formed between each of the arms that hold the Ferris wheel is 30 degrees.