Question

solve for x to make a||b. a (4x + 14)° b (3x + 21)° x = ?

Explanation:

Step1: Apply corresponding - angles postulate

When \(A\parallel B\), the corresponding angles are equal. So, \(4x + 14=3x + 21\).

Step2: Isolate the variable \(x\)

Subtract \(3x\) from both sides of the equation: \(4x-3x+14 = 3x-3x + 21\), which simplifies to \(x+14=21\).

Step3: Solve for \(x\)

Subtract 14 from both sides: \(x+14 - 14=21 - 14\).

Answer:

\(x = 7\)