Answer:
The measure of each pink central angle is [tex]40\°[/tex]
Step-by-step explanation:
Let
a----> the measure of each pink central angle
b ----> the measure of each green central angle
we know that
[tex]4a+4b=360\°[/tex]
we have
[tex]b=50\°[/tex]
substitute and solve for a
[tex]4a+4(50\°)=360\°[/tex] ----> complete circle
[tex]4a+200\°=360\°[/tex]
[tex]4a=360\°-200\°[/tex]
[tex]4a=160\°[/tex]
[tex]a=40\°[/tex]
