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Class 8 maths · L.16 · Angles and polygons

Number of sides of a regular polygon from its angle

Find the exterior angle first (180° minus the interior angle), then divide 360° by it.

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  1. A regular polygon has interior angles of 144°. How many sides has it?

    Answer: 10

  2. A regular polygon has interior angles of 160°. How many sides has it?

    Answer: 18

  3. Each interior angle of a regular polygon is 120°. How many sides does it have?

    Answer: 6

Tip: Find the exterior angle first (180° minus the interior angle), then divide 360° by it.

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