If BC bisects angle ABD, and angle abc=5x+11 angle CBD=10x-4

well, you have

5x+11 = 10x-4

other than that, no clue what the question is. I think it's "what is x?"

@steve it is asking what is x

and can you not solve the equation I gave? I assume you have had Algebra I.

-5x+11=-4

-5x=-15
x=3

its 3

To find the value of x in this geometry problem, we can use the fact that angle ABC and angle CBD form a straight line when added together. Since BC bisects angle ABD, angle ABC and angle CBD are equal.

Therefore, we can set up an equation:

angle ABC + angle CBD = 180 degrees.

Substituting the given values, we have:

(5x + 11) + (10x - 4) = 180

Combining like terms:

15x + 7 = 180

To isolate x, we need to subtract 7 from both sides:

15x = 180 - 7
15x = 173

Finally, we divide both sides by 15 to solve for x:

x = 173 / 15

Calculating the value of x:

x = 11.53

Since none of the answer choices are equal to 11.53, it seems there may be an error in the given problem or answer choices.