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A rectangular polygon has 150o as the size of e... - JAMB Mathematics 1993 Question

A rectangular polygon has 150o as the size of each interior angle. How many sides has the polygon?

A
12
B
10
C
9
D
8
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Correct Option: A

A rectangular polygon has each interior angle to be 150o

let the polygon has n-sides

therefore, Total interior angle 150 x n = 150n

hence 150n = (2n - 4)90

150n = 180n - 360

360 = (180 - 150)n

30n = 360

n = 12

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