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JAMB - Mathematics (1982 - No. 28)

In a regular polygon of n sides, each interior angle is 144o. Find n
12
11
10
8
6F

Vysvětlení

Formula for an interior angle of a polygon is (2n - 4) x 90

(2n - 4) x 90 = 144n

180n - 360 = 144n

180n - 144n = 360

36n = 360

n = \(\frac{360}{36}\)

= 10

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