Respuesta :

Answer:  angle EBD = 50 degrees

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Explanation:

BD bisects angle EBC

This means the angle EBC is broken up into two smaller equal pieces angle EBD and angle DBC

So,

angle DBC = angle EBD

7x+8 = 5x+20

7x-5x = 20-8

2x = 12

x = 12/2

x = 6

Now that we know x, we can find each angle

angle DBC = 7x+8

angle DBC = 7*6+8

angle DBC = 42+8

angle DBC = 50 degrees

and

angle EBD = 5x+20

angle EBD = 5*6+20

angle EBD = 30+20

angle EBD = 50 degrees

Both angles are 50 degrees, to this confirms our answer.

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