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# Maths question watch

1. 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.
2. (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)
3. Thank you!!
4. (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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5. (Original post by Y11_Maths)
This is correct
Ok. Thanks.

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