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a (3x - 35)^0 b o 130^0 c d

Question

a (3x - 35)^0 b o 130^0 c d

Explanation:

Step1: Identify vertical - angles

Vertical angles are equal. $\angle AOB$ and $\angle COD$ are vertical angles, so $3x - 35=130$.

Step2: Solve the equation for $x$

Add 35 to both sides: $3x=130 + 35$. So, $3x=165$.

Step3: Isolate $x$

Divide both sides by 3: $x=\frac{165}{3}=55$.

Answer:

$x = 55$