The measures of the interior angles taken in order of a polygon form an arithmetic sequence. The least measurement in the sequence is 850. The greatest measurement is 2150. Find the number of sides in the given polygon
Correct answer: C
Explanation
Let n denote the number of sides of the polygon.
Now, the measures of interior angles form an arithmetic sequence.
Let the sum of the interior angles of the polygon be
Sn where a = 85 and l = 215.
We know that the sum of the interior angles of a polygon is (n-2)x1800
Sn=(n-2)x1800
n=12
Option C
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