Question
Continue this procedure with the remaining available shapes (pentagon, hexagon, heptagon).
4. What is the sum of the interior angles of the pentagon?
4. What is the sum of the interior angles of the pentagon?
Ask by Macdonald Turnbull. in the United States
Jan 24,2025
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Answer
The sum of the interior angles of a pentagon is 540 degrees.
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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!