Question : If the sum of the measures of all the interior angles of a polygon is 1440$^\circ$, find the number of sides of the polygon.
Option 1: 8
Option 2: 12
Option 3: 10
Option 4: 14
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Correct Answer: 10
Solution : Given: If the sum of the measures of all the interior angles of a polygon is 1440$^\circ$. A polygon with $n$ sides has an interior angle sum of $(n – 2)×180^\circ$. According to the question, $(n – 2)×180^\circ=1440^\circ$ ⇒ $n–2=8$ ⇒ $n=10$ Hence, the correct answer is 10.
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