Question

find the measure of each interior angle of a regular hexagon

Answer 1

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A regular hexagon has 6 interior angles and 6 exterior angles. The sum of exterior angles is 360° hence each exterior angle will be 360÷6= 60. The interior angle being supplementary of the exterior angle so it's value is 180-60 which is equal to 120.

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Answer 2

The measure of each interior angle of a regular hexagon is 120°

Given:

• Regular Hexagon

To Find:

• Measure of  each interior angle of a regular hexagon

Solution:

• Sum of Measures of interior angles of a polygon with n sides  is given by (n - 2) x  180°
• A regular polygon has All its sides of Equal  length and  all its angles of equal measures
• Hexagon has 6 side

Step 1:

Substitute n = 6 in  (n - 2) x  180°  to find sum of measures of interior angles of hexagon

(n - 2) x  180°

=  (6 - 2) x  180°

= 4 x  180°

= 720°

Step 2:

As Regular  Hexagon has 6 sides and measure of all interior angles are equal hence divide by 6 to get measure of each interior angle

= 720° /6

= 120°

The measure of each interior angle of a regular hexagon is 120°