Question

solve for x to make a||b. a (25x + 15)° b (5x + 15)° x = ?

Explanation:

Step1: Use the property of same - side interior angles

When \(A\parallel B\), the sum of same - side interior angles is \(180^{\circ}\). So, \((25x + 15)+(5x + 15)=180\).

Step2: Simplify the equation

Combine like terms: \(25x+5x+15 + 15=180\), which gives \(30x+30 = 180\).

Step3: Solve for \(x\)

Subtract \(30\) from both sides: \(30x=180 - 30\), so \(30x=150\). Then divide both sides by \(30\): \(x=\frac{150}{30}=5\).

Answer:

\(x = 5\)