Will give BRAINLIEST

Step-by-step explanation:

First case: angleEBD = 86 degrees, and angleDBC =  7 x + 8

Since BD bisects angleEBC, then angleDBC = 86/2 degrees = 43 degrees

then 43 = 7 x + 8

solving for "x":

43 - 8 = 7 x

35 = 7 x

dividing both sides by 7:

x = 5 degrees

Second case:  angleEBD = 5 x + 20  and angleDBC = 7 x + 8

Since both angles must be of the same measure because BC is the bisector, then we can write the equation:

5 x + 20 = 7 x + 8

solve for x:

20 = 7 x - 5 x + 8

20 - 8 = 2 x

12 = 2 x

x = 6 degrees

now use x = 6 degrees to find angle EBD:

angleEBD = 5 (6) + 20 = 30 + 20 = 50 degrees.