Question

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

Explanation:

Step1: Identify the relationship

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

Step2: Solve for \( x \)

Subtract \( 3x \) from both sides: \( 4x - 3x + 14 = 3x - 3x + 21 \), which simplifies to \( x + 14 = 21 \).
Then subtract 14 from both sides: \( x + 14 - 14 = 21 - 14 \), so \( x = 7 \).

Answer:

7