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Find the measure of arc CE, in degrees.

 

 Apr 27, 2022
 #1
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Note that the sum of  arc CE + arc DB    =   360  - 107 -144  =  109°

So  CE + DB  = 109     (1)

 

 

And   we  have  that, by a geometry theorem

 

measure of  angle CAE   =   (1/2) (arc CE   - arc DB) )

 

21  =  (1/2) (CE  - DB)

42 =   CE - DB      (2)

 

Add  (1)  and (2)

 

2CE  =  151

 

CE =   151  / 2    =    75.5°

 

 

 

cool cool cool

 Apr 27, 2022

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