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Tomtit [17]
3 years ago
5

The measure of each interior angle of a regular polygon is eleven times that of an exterior angle how many sides does the polygo

n have
Mathematics
2 answers:
Nuetrik [128]3 years ago
8 0
Let there be x sides.
180(x-2)/x=11*360/x
   180(x-2)=11*360
            x-2=11*2
            x-2=22
                x=24

the polygon has 24 sides.

steposvetlana [31]3 years ago
8 0

The polygon would have 24 sides.

\frac{180n -  360}{n} ≈ \frac{360}{n} (\frac{11}{1})

\frac{180n -  360}{n} = \frac{3960}{n}

180n - 360 = 3,960

180n = 4,320

n = 24

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