Final answer:
To solve BD bisecting angle ABC and find the value of x, set up an equation using the congruence of the bisected angles and solve for x.
Step-by-step explanation:
To solve the problem of BD bisecting angle ABC and find the value of x, we need to use the properties of angle bisectors. An angle bisector divides an angle into two congruent angles. In this case, BD bisects angle ABC, so angle ABD is congruent to angle DBC.
Since angle ABD and angle DBC are congruent, we can set up an equation:
ABD = DBC
x + 5 = 2x - 20
Now, we can solve for x by combining like terms and isolating x:
x - 2x = -20 - 5
-x = -25
x = 25
Therefore, the value of x is 25.