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

Question

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

Explanation:

Step1: Set up equation

When $A\parallel B$, the corresponding - angles are equal. So we set up the equation $4x + 14=3x + 21$.

Step2: Isolate x - terms

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: $x+14 - 14=21 - 14$. So $x = 7$.

Answer:

$7$