Math, asked by nihal9669, 9 days ago

13. In a regular polygon with n sides each interior angle is 180- 360/n degrees. How many sides does a polygon have if each interior angle is 156°? ​

Answers

Answered by choprasiddharth10
2

Answer:

n = 15 sides

Step-by-step explanation:

Let the polygon be n-sided.

Given that Each interior angle measures 156°

So, ( n-2 ) × 180 / n = 156

=> 180n - 360 = 156n .

=> 180n - 156n = 360

=> 24 n = 360

=> n = 360/24 = 180/12 = 90/6 = 15 .

=> n = 15 sides.

Answered by yadavaditya4813
1

Answer:

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