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Does anybody know? Find the value of x in the regular polygon

Does anybody know? Find the value of x in the regular polygon-example-1
User Vmank
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2 Answers

7 votes
that is a dodecagon, so x without context is 150.
User Sedayux
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14 votes

Answer:

x = 150

Explanation:

The regular poligon shown in the image has 12 angles so it's a dodecagon

A dodecagon's interior angles is calculated with the following formula:

(n-2)180 (n is the count of angles)

10*180 = 1800 now this is the sum of all 12 angles' measure to find the value of x we divide this sum by 12

1800/12 = 150 this is the value of x

User Writofmandamus
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