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    an interior angle of a regular polygon is eleven times its exterior
    Work out the number of sides of the polygon.
    Can someone teach me because my teacher does it in a complex way.
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    (Original post by Madelaine77)
    an interior angle of a regular polygon is eleven times its exterior
    Work out the number of sides of the polygon.
    Can someone teach me because my teacher does it in a complex way.
    So one interior angle and its exterior angle must equal 180 degrees
    so x+11x = 180.
    x+11x = 12x
    180/12 = 15
    So the exterior angle is 15 degrees
    The sum of the exterior angles equal 360 degrees
    so
    360/15 = 24
    so it has 24 sides
    (I think I'm right, but not sure)
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    Thank you!!
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    (Original post by Baza2002)
    So one interior angle and its exterior angle must equal 180 degrees
    so x+11x = 180.
    x+11x = 12x
    180/12 = 15
    So the exterior angle is 15 degrees
    The sum of the exterior angles equal 360 degrees
    so
    360/15 = 24
    so it has 24 sides
    (I think I'm right, but not sure)
    This is correct
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    (Original post by Y11_Maths)
    This is correct
    Ok. Thanks.
 
 
 
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