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solve for x to make a||b. a (5x)° b (3x + 20)° x = ?

Question

solve for x to make a||b. a (5x)° b (3x + 20)° x = ?

Explanation:

Step1: Use corresponding - angles property

If \(A\parallel B\), then the corresponding angles are equal. So, \(5x = 3x+20\).

Step2: Isolate the variable \(x\)

Subtract \(3x\) from both sides of the equation: \(5x - 3x=3x + 20-3x\).
This simplifies to \(2x=20\).

Step3: Solve for \(x\)

Divide both sides of the equation \(2x = 20\) by 2: \(\frac{2x}{2}=\frac{20}{2}\).
So, \(x = 10\).

Answer:

\(x = 10\)