Continue this procedure with the remaining available shapes (pentagon, hexagon, heptagon). 4. What is the sum of the interior angles of the pentagon?
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The Deep Dive
To find the sum of the interior angles of a pentagon, you can use the formula: (n - 2) × 180°, where n is the number of sides. For a pentagon, n = 5, so the calculation goes: (5 - 2) × 180° = 3 × 180° = 540°. So, the sum of the interior angles of a pentagon is 540°! Gearing up to tackle the hexagon next, remember that the sum of the interior angles follows the same formula. For a hexagon (6 sides), you'd calculate it as (6 - 2) × 180° = 4 × 180° = 720°. Keep your math sharp; it’s fun to see how these shapes stack up in angle totals!