65.4k views
5 votes
Geometry math question no Guessing and Please show work thank you

Geometry math question no Guessing and Please show work thank you-example-1
User Stratos
by
6.5k points

2 Answers

5 votes

108n=180(n-2)

108n=180n-360

72n=360

n=5 sides

so, option-A...........Answer hope this helps:)

User Jaymes
by
6.6k points
2 votes

we know that

formula of each interior angle of regular polygons


\theta=(180(n-2))/(n)

where

theta is angle

n is number of sides

we are given

theta=108

so, we can set it equal


108=(180(n-2))/(n)

now, we can solve for n


108n=180(n-2)


108n=180n-360


72n=360


n=5

so, option-A...........Answer

User Isaac Sekamatte
by
6.7k points
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