The perimeter of a circle is divided to four parts whose arc relate as 1:2:4:5.  Solve the values of the corresponding central angles

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 4E: What is the general name of the point of concurrence for the three altitudes of a triangle?
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. The perimeter of a circle is divided to four parts whose arc relate as 1:2:4:5. 
Solve the values of the corresponding central angles 

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