Math, asked by dempekarthik001, 1 month ago

the number of sides in regular polygon is whose interior angles in 144 degrees​

Answers

Answered by nayomi23
1

Answer:

10 sides

Step-by-step explanation:

Let the number of sides of the polygon be n

=> (2n-4) × 90 = n × measuring of each interior Angels

=> (2n-4) = 144n

=> 180 -360= 162n

=> 180 - 144n =36n

=> 36n= 360

n= 360 ÷ 36 = 10

Hence, the polygon has 10 sides (decagon)

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