if lineBC biscects angle ABD and angle ABC=5x+11 angle CBD=10x-4 then find x

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If measure angle ABD = 4x and measure angle CBD =x,find measure angle ABD in degrees

To find the value of x, we need to use the fact that line BC bisects angle ABD. This means that angle ABC is equal to angle CBD.

Given that angle ABC = 5x + 11 and angle CBD = 10x - 4, we can set up an equation:

5x + 11 = 10x - 4

To solve for x, we can manipulate the equation and isolate the variable:

Subtract 5x from both sides: 11 = 5x - 4

Add 4 to both sides: 15 = 5x

Divide both sides by 5: x = 15/5

Simplifying, we find: x = 3

Therefore, the value of x is 3.