Respuesta :
Answer:
108°
Step-by-step explanation:
Suppose that circle with center A is a circular arena. Points B, C, D, E and F are 5 lights. These 5 points form regular pentagon (because these 5 lights are equally spaced around the perimeter of the arena).
The sum of all interior angles of pentagon can be calculated using following formula
[tex](n-2)\cdot 180^{\circ},\\ \\(5-2)\cdot 180^{\circ}=3\cdot 180^{\circ}=540^{\circ}[/tex]
All interior angles in regular pentagon are of equal measure, so
[tex]\dfrac{540^{\circ}}{5}=108^{\circ}[/tex]
Thus, the measure of each angle formed by the lights on the perimeter is 108°.

Answer:
D. 108
Step-by-step explanation:
I just did the test yourself