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25 July, 10:28

Work out the size of one exterior angle of a regular hexagon?

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Answers (2)
  1. 25 July, 10:37
    0
    60°

    Step-by-step explanation:

    The sum of the interior angles of a polygon is

    sum = 180° (n - 2) ← n is the number of sides

    here n = 6 (hexagon), thus

    sum = 180° * 4 = 720°

    The size of one interior angle = 720° : 6 = 120°

    The interior angle and exterior angle sum to 180°, hence

    exterior angle = 180° - 120° = 60°
  2. 25 July, 13:29
    0
    60°

    Step-by-step explanation:

    Hexagon = 6 sides

    Utilise the formula ⇒ (n - 2) * 180°

    (6 - 2) * 180° = 4 * 180° = 720°

    720° = Sum of hexagon's interior angle's

    (: 6 to get on interior angle)

    120 ° = One of hexagon's interior angle's

    180° - interior angle = exterior angle

    180° - 120° = 60°
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