Question How many sides does a polygon have if the sum of the interior angles is \( 1260^{\circ} \) ? Answer Attempt out of 2 (o) Watch Video

To find out how many sides a polygon has based on the sum of its interior angles, we can use the formula: \( (n - 2) \times 180 = \text{sum of interior angles} \). Here, \( n \) is the number of sides. So, rearranging the formula gives us \( n - 2 = \frac{1260}{180} = 7 \). Adding 2 gives us \( n = 9 \). Therefore, the polygon has 9 sides, which makes it a nonagon! Polygons have been a fascinating study for mathematicians over centuries! The classic pentagon and hexagon may get all the attention, but the nonagon, with its 9 sides, has intriguing characteristics, like symmetry and visual appeal. Nonagons aren’t just theoretical; they appear in art, architecture, and even nature, inspiring creativity beyond numbers alone.