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https://vle.mathswatch.co.uk/images/questions/question17074.png

 Jun 25, 2018
 #1
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+2

360 - 72 =288 degrees - sum of the other angles.

288 /2 = 144 degrees - one interior angle of the polygon.

180(n - 2)/n = 144 degrees, where n = number of sides of a polygon.

180(n - 2) = 144n

180n - 360 = 144 n

180n - 144n = 360

36n = 360

n = 360/36

n = 10 - Number of sides of a polygon, or a decagon.

 Jun 25, 2018
edited by Guest  Jun 25, 2018
 #2
avatar+9781 
+2

144°+144°+72°=360°

laugh

 Jun 25, 2018

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