Question

what is the measure of each angle of a regular polygon having.
a. 8 sides
b. 9 sides
c. 12 sides​

Answer 1

Answer:

To find the each interior angle of a polygon with n sides is given as,

{(n-2)180}/n

for 8 sides = (6)(180)/8 = 75° each.

Similarly find the others.

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Answer 2

Answer:

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Step-by-step explanation:

The measure of each exterior angle of a regular polygon is given by; Measure of each exterior angle =360°/n; where, n = number of sides of a polygon. One important property about exterior angles of a regular polygon is that, the sum of the measures of the exterior angles of a polygon is always 360°. Substitute.

In a regular polygon the sides are all the same length and the interior angles are all the same size. The following diagram shows a regular hexagon: Note that, for any point in a polygon, the interior angle and exterior angle are on a straight line and therefore add up to 180°.