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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 Skyla
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2 Answers

2 votes

(12 - 2) * 180 = 1,800/12 = 150

(8 - 2) * 180 = 1,080/8 = 135

B. 8 sides

User Saad Anees
by
5.5k points
3 votes

Here we have to use the following formula to find the number of sides,n


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

ANd S=135

So we will get


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

135n = 180n -360

Subtracting 180n to both sides

-45n =-360

Dividing both sides by -45

n = 8 .

So the number of sides =8. And the correct option is B .

User Herrbischoff
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5.5k points