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Second Year maths · L.9 · Angles and polygons

Sum of the interior angles of a polygon

The interior angles of a polygon with n sides add to (n − 2) × 180°.

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  1. A polygon has 39 sides. What is the sum of its interior angles, in degrees?

    Answer: 6660

  2. Find the total of the interior angles of a 13-sided polygon, in degrees.

    Answer: 1980

  3. What is the sum of the interior angles of a polygon with 30 sides, in degrees?

    Answer: 5040

Tip: The interior angles of a polygon with n sides add to (n − 2) × 180°.

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