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3 years ago

In the figure below AC and BE are diameters of circle P. what is the arc measure of DBE in degrees

Mathematics

2 answers:

Paraphin [41]3 years ago

7 0

Answer:

idk it looks easy but idk..

Step-by-step explanation:

Marrrta [24]3 years ago

5 0

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.)

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