by Anonymous on September 24th, 2008

Anonymous

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How many sides does a regular polygon have if each angle measures 24 degrees?

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Answers. 7 helpful answers below.

  • by krazymike on September 24th, 2008

    krazymike

    15
    360÷24 = 15

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  • by bowlermommy07 on September 24th, 2008

    bowlermommy07

    15

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  • by Brian on September 24th, 2008

    Brian

    From what I remember, the internal angles of any regular polygon with more than 3 sides always total 360º.

    Your answer is 360/24.

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  • by xprofessor on September 24th, 2008

    xprofessor

    By "each angle" you must mean each EXTERNAL angle, meaning that the angles INSIDE the polygon are 180-24 = 156 degrees. It's the external angles, however, that are the key to calculating the number of sides, as suggested in another answer. You can figure it out...!

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  • by Rince on September 24th, 2008

    Rince

    A full circle is 360 degrees, sooooo.... 360 / 24 = HOMEWORK TIME :-)

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  • by iwnit on October 15th, 2008

    iwnit

    15 = 360/24

    Draw a circle and its horizontal diameter.
    From the left intersection of the circle with its diameter, draw two symmetrical lines at 12° angle with the diameter. One cuts the circle again on the upward right, the other on the downward right.

    This figure can be rotated 15 times around the center before it comes there again. It generates the polygon.
    (The diameters are only construction lines).

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  • by Aquatic Eagle on September 25th, 2008

    Aquatic Eagle

    It would be impossible for a polygon to have exterior angles all of 24 degrees.

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