If /BC bisects �ÚABD, and �ÚABC = 5x + 11, �ÚCBD = 10x − 4, then find x.

Question

5
3
1
2
I am having trouble with this one, please help.

Answer 1

Your symbols did not come out as you expected, but I concluded that you said:

line BC bisects angle ABD, and angle ABC = 5x+11, angle CBD = 10x-4

so the two angles are equal, or
10x-4 = 5x+11
5x = 15
x = 3

check: angle ABC = 5(3) + 11 = 26
angle CBD = 10(3) - 4 = 26
YUP!!!

Answer 2

Thanks much, I did figure it out and appreciate your explanation.