Question

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?

Answer 1

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.