One angle of a regular polygon is 170o. How many sides does it have?
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Answer:
Number of Sides = 36
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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
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