Question

BD bisects ABC, DBC=10x, ABD=4x+15 . Find DBC.

Answer 1

First draw angle ABC

Answer 2

we don't know if ABC is acute or obtuse, but it doesn't matter. The drawing isn't to scale

Next add in segment BD to bisect the angle ABC

Answer 3

Awe I would help you but sadly I do not know how to do this yet. I do apologize

Answer 4

by definition of `bisect`, the two angles ABD and DBC are congruent

Answer 5

since we're given `DBC=10x, ABD=4x+15` and we know that `angle ABD = angle DBC`, we can say

10x = 4x+15

solve for x and tell me what you get