Answer:
15°
Step-by-step explanation:
We know that the central angle of a circle is 360°.
In this case, we have the circle divided into 12 equal parts, so each angle would be also the 12th part of 360°.
[tex]\theta = \frac{360\° }{12}= 30\°[/tex]
Each circular sector has an angle of 30°, and each arc is equal to 30°.
Now, notice that tha angle formed by the two blue cables is an external angle formed by two secants, that means we can use the following relation
[tex]\alpha = \frac{1}{2}(60\° - 30\°)[/tex]
Where [tex]\alpha[/tex] is the angle formed by the two blue cables.
[tex]\alpha = \frac{1}{2}(30\°)=15\°[/tex]
Therefore, the angle measures 15°.
