Answer: angle EBD = 50 degrees
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Step-by-step 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.