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A circle is divided into 12 equal angles. What is the measure of each angle?

Mathematics

ScanSolve AI Answer

Answer

30°\text{30°}

Step-by-step solution

3 steps
  1. Understand the total degrees in a circle.

    A full circle contains 360∘360^\circ.

  2. Divide the total degrees by the number of angles.

    The circle is divided into 12 equal angles. To find the measure of each angle, divide the total degrees in a circle by the number of angles.

    Measure of each angle=Total degrees in a circleNumber of angles\text{Measure of each angle} = \frac{\text{Total degrees in a circle}}{\text{Number of angles}}
  3. Substitute the values and calculate.

    Measure of each angle=360∘12\text{Measure of each angle} = \frac{360^\circ}{12} Measure of each angle=30∘\text{Measure of each angle} = 30^\circ

    The measure of each angle is 30∘30^\circ.

    Comparing this to the given options:

    • 60∘60^\circ
    • 30∘30^\circ
    • 36∘36^\circ
    • 90∘90^\circ

    The correct option is 30∘30^\circ.

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