Each outer angle is 15°
The sum of interior angles is 3960°
Explanation:
The given polygon has 24 sides.
Now, we shall determine the angle of each outer angle.
Each outer angle can be determined using the formula,
[tex]\frac{360}{n}[/tex]
where n is the number of sides. Here [tex]n=24[/tex]
Substituting in [tex]\frac{360}{n}[/tex] , we have,
[tex]\frac{360}{24}=15^{\circ}[/tex]
Thus, the angle of each outer angle is 15°
The sum of interior angle can be determined using the formula,
[tex]$Sum=(n-2) 180^{\circ}$[/tex]
[tex]$Sum=(24-2) 180^{\circ}$[/tex]
[tex]$Sum=(22) 180^{\circ}$[/tex]
[tex]$Sum=3960^{\circ}$[/tex]
Thus, the sum of the interior angle is 3960°