The measure of ∠APB is 60 degrees.
The measure of angle in a circle is 360 degrees. i.e.
[tex]\theta = 360^o[/tex]
The number of sides of a regular hexagon is 6. i.e.
[tex]n = 6[/tex]
So, the measure of ∠APB is calculated as:
[tex]\angle APB = \frac{\theta}{n}[/tex]
This gives
[tex]\angle APB = \frac{360}{6}[/tex]
[tex]\angle APB = 60[/tex]
Hence, the measure of ∠APB is 60 degrees.
Read more about regular polygons at:
https://brainly.com/question/1592456
