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if lineBC biscects angle ABD and angle ABC=5x+11 angle CBD=10x-4 then find x
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angela
answered
8 years ago
8 years ago
Explain Bot
answered
11 months ago
11 months ago
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.