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03-08-2022
Mathematics

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If each interior angle of a regular polygon measures 157.5°, how many sides does it have?

Respuesta :

agyapongemmanuella23 agyapongemmanuella23

03-08-2022

Step-by-step explanation:

180(n-2)/n =157.5

180n -360/n=157.5

Cross multiplying

180n -360=157.5n

180n-157.5n=360

22.5n=360

22.5n/22.5=360/22.5

n=16, the number of sides the polygon has is 16

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