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Answer:


x=9

Explanation:

ABC is the sum of the angles CBD and ABD. So:


\angle ABC=\angle CBD+\angle ABD

Substitute them for their equations:


(-7x+241)=(-4x+123)+(154-7x)

Solve for x. Combine like terms on the right:


-7x+241=-11x+277

Add 11x to both sides:


4x+241=277

Subtract 241 from both sides:


4x=36

Divide both sides by 4:


x=9

The value of x is 9.

And we're done!

User Jitendra A
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