How many sides does a regular polygon have if each of it's interior an

1.	How many sides does a regular polygon have if each of it's interior angle is 165 degree? (pls give step by step expansion)
Answer» Answer: Given, interior angle of a regular POLYGON is 165 degree Now, we have to find the side does a regular polygon By using FORMULA: 2n -4/N ×90 degree = 162 According to the question 2n-4 ×90 = 162n 180n-360 = 162n -360= 162n-180n -360= -18n 20 =n Hence, the polygon has 20 SIDES

How many sides does a regular polygon have if each of it's interior angle is 165 degree? (pls give step by step expansion)

Answer»

Answer:

Given,

interior angle of a regular POLYGON is 165 degree

Now,

we have to find the side does a regular polygon

By using FORMULA: 2n -4/N ×90 degree = 162

According to the question

2n-4 ×90 = 162n

180n-360 = 162n

-360= 162n-180n

-360= -18n

20 =n

Hence,

the polygon has 20 SIDES

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How many sides does a regular polygon have if each of it's interior angle is 165 degree? (pls give step by step expansion)​

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How many sides does a regular polygon have if each of it's interior angle is 165 degree? (pls give step by step expansion)