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xxMikexx [17]
3 years ago
6

The measure of an interor angle of a regular polygon is given. Find the number of sides in the polygon.

Mathematics
1 answer:
EleoNora [17]3 years ago
6 0

Let side be n

#1

\\ \sf\longmapsto 120n=(n-2)180

\\ \sf\longmapsto 120n=180n-360

\\ \sf\longmapsto -60n=-360

\\ \sf\longmapsto n=6

#2

\\ \sf\longmapsto 160n=(n-2)180

\\ \sf\longmapsto 160n=180n-240

\\ \sf\longmapsto -20n=-240

\\ \sf\longmapsto n=12

#3

\\ \sf\longmapsto 144n=(n-2)180

\\ \sf\longmapsto 144n=180n-360

\\ \sf\longmapsto -36n=-360

\\ \sf\longmapsto n=10

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