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How many sides has a regular polygon whose interior angle is...
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How many sides has a regular polygon whose interior angle is 135o each

A. 8

B. 12

C. 9

D. 10

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judziy
Asked by judziyrep:1.6K
University of Benin Nigeria
13 May 2020

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peter
Peter answeredrep:1.5K
University of Lagos Nigeria
12 August 2020
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The sum of the nth side of an interior angle of a polygon, p is given by:

p = (n - 2)/n x 180

p = 135

135n = (n - 2) x 180

135n = 180n - 360

180n - 135n = 360

45n = 360

n = 360/45

n = 8

Ans A

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