Question

find the value of x for which m || n.
(3x - 33)°
(2x + 20)°
m
n
the value of x for which m || n is

Explanation:

Step1: Identify Alternate Interior Angles

When \( m \parallel n \), the given angles are alternate interior angles, so they are equal. Thus, \( 3x - 33 = 2x + 20 \).

Step2: Solve for \( x \)

Subtract \( 2x \) from both sides: \( 3x - 2x - 33 = 20 \), which simplifies to \( x - 33 = 20 \). Then add 33 to both sides: \( x = 20 + 33 \).

Answer:

\( 53 \)