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

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°

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°

a

b

d

step-by-step explanation: