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If the interior angle of polygon are in AP with common difference 5° and the smallest angle is 120° then number of sides in polygon is?
If the interior angle of polygon are in AP with common difference 5° and the smallest angle is 120° then number of sides in polygon is?
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Step-by-step explanation:
Sure! To find the number of sides in the polygon, we can use the formula:
Number of sides = (180 * (n - 2)) / n
where n is the number of sides in the polygon.
Given that the interior angles of the polygon are in arithmetic progression (AP) with a common difference of 5°, and the smallest angle is 120°, we can set up the following equation:
120 + (n - 1) * 5 = 180
Let's solve this equation to find the value of n:
120 + 5n - 5 = 180
5n + 115 = 180
5n = 180 - 115
5n = 65
n = 65 / 5
n = 13
Therefore, the number of sides in the polygon is 13.
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