Question

(i) What is the sum of the measures of exterior angles of a polygon of n sides?

(ii) What is the measure of each exterior and interior angle of a regular hexagon.​

Answer 1

Answer:

Interior and exterior angle formulas: The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. The measure of each interior angle of an equiangular n-gon is. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

Interior 120

Exterior 60

Answer 2

Answer:

❤️Sum of measures of exterior angles of a polygon of n sides .

===> Interior and Exterior Angles of a Polygon - dummies Interior and exterior angle formulas: The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.

===> The measure of each interior angle of an equiangular n-gon is. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

❤️Measure of each exterior and interior angles of a regular hexagon .

===> The interior angle and its corresponding exterior angle always add up to 180° (for a hexagon, 120° + 60° = 180°). Calculate the exterior angle of a regular octagon, and write down the value of the interior angle.

===> The sum of the exterior and interior angles is 180°, so the interior angle is 180 - 45 = 135°.

Step-by-step explanation:

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