One angle of a regular polygon is 170o. How many sides does it have? �

1.	One angle of a regular polygon is 170o. How many sides does it have?
Answer» Answer: Number of Sides = 36 [MARK THE ANSWER AS BRAINLIEST] Step-by-step explanation: The formula for calculating the sum of INTERIOR angles is ( n − 2 ) × 180° = 170° × Number of SIDE of Polygon (n) ⇒ ( n - 2 ) × 180° = 170° × n ⇒ 180n - 360 = 170n ⇒ 180n - 170n = 360 ⇒ 10n = 360 ⇒ n = 360/10 = 36

One angle of a regular polygon is 170o. How many sides does it have?

Answer»

Answer:

Number of Sides = 36

[MARK THE ANSWER AS BRAINLIEST]

Step-by-step explanation:

The formula for calculating the sum of INTERIOR angles is ( n − 2 ) × 180°

= 170° × Number of SIDE of Polygon (n)

⇒ ( n - 2 ) × 180° = 170° × n

⇒ 180n - 360 = 170n

⇒ 180n - 170n = 360

⇒ 10n = 360

⇒ n = 360/10 = 36