Answer:
Arc measure DBE is 321 degrees.
Step-by-step explanation:
Since BE is a diameter of circle P, (4w+8)+(4w+4)=180. You can use this to figure out what w is.
(4w+8)+(4w+4)=180
4w+8+4w+4=180
8w+12=180
8w=168
w=21
This means arc measure BA is 4(21)+8 degrees, which is 92 degrees. Since arc measures BA and CE are vertical angles, CE is also 92. Then 92-(2w+11)=DE, and 360 - DE = DBE.
DE=92-(2w+11)
DE=92-2(21)-11
DE=92-42-11
DE=39
DE+DBE=360
39+DBE=360
DBE=321
Therefore, the arc measure of DBE is 321 degrees!
(I filled it in the real problem and it says it is correct so this should be right.)
