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What is the measure of an exterior angle of a regular 11-sided polygon? enter your answer as a decimal in the box. round to the nearest tenth of a degree?

User Rdnobrega
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In 11 sided Polygon no. of sides = 11

In general sum of interior angle of any polygon =
(n-2)*180
Where n is no. of sides in polygon.
We can find value of each interior angle in any polygon as

((n-2)*180)/(n)

For polygon of 11 sides
Value of each interior angle is

((11-2)*180)/(11)

(9*180)/(11) = (1620)/(11) = 147.272727.....
So value of each interior angle in 11 sided polygon is 147.272727..... which we can round it as 147.28 degree.

Value of exterior angle in polygon = 180 - interior angle
= 180 - 147.28 = 32.72 degree.

So the value of exterior angle in 11 sided polygon is = 32.72 degree.



User SuperSized
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