Question

en ( m parallel n ), find the value of ( x ). answer attempt 1 out of 2 ( x = )

Explanation:

Step1: Identify angle relationship

Since \( m \parallel n \), the angles \( 2x + 16 \) and \( 96^\circ \) are equal (corresponding angles or alternate interior angles, depending on the transversal, but here they are equal as the lines are parallel). So we set up the equation: \( 2x + 16 = 96 \).

Step2: Solve for \( x \)

Subtract 16 from both sides: \( 2x = 96 - 16 \)
\( 2x = 80 \)
Divide both sides by 2: \( x = \frac{80}{2} \)
\( x = 40 \)

Answer:

\( x = 40 \)