Question

parallel lines e and f are cut by transversal b. what is the value of x? 1 5 26 37

Explanation:

Step1: Set up the equation

Since parallel lines \( e \) and \( f \) are cut by transversal \( b \), the angles \( (2x + 10)^{\circ} \) and \( (3x-16)^{\circ} \) are congruent (alternate interior angles). So, \( 2x + 10=3x - 16 \).

Step2: Solve for \( x \)

Subtract \( 2x \) from both sides: \( 10=x - 16 \).
Add \( 16 \) to both sides: \( x=10 + 16=26 \).

Answer:

\( 26 \) (the third option)