Question

What is the measure of each interior angle and each exterior angle of regular hendecagon AKDLIENGPZW? Round decimals to the nearest tenths place. (Enter the number for the exterior angle then interior with a comma and space separating. Example: 120, 40)

Answer 1

The measure of each exterior angle of a regular polygon is

$\frac{360}{n}$

For a hendecagon, the number of sides is 11.

So the measure of exterior angles is,

$\frac{360}{11}=32$

The measure of interior angle is calculated as,

$\frac{(n-2)}{n}180=\frac{9\times180}{11}=220$

So the answer is, (220,32).

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